Sequencer - DeathRowKitty's Turn

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NotMySpamAccount
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Post Post #50  (ISO)  » Sat Oct 05, 2019 9:10 pm

68 to {16n+4}
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Plotinus
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Post Post #51  (ISO)  » Sun Oct 06, 2019 1:26 am

Spoiler: Finished sequences:
  • { n2 ± [0, 2] } numbers within 2 of a perfect square,
  • { n = a010d + a110d-1 + ... + ad100 with ai ≡ 1 (mod 2) ∀ i ∈ [1, 9], ∀ d > 0 } numbers with at least two digits, all of which are odd
  • { n is 0 or odd (mod 9) } numbers that are odd when you repeatedly sum their digits
  • n is the sum of the Scrabble point values of the letters in the US spelling of the numbers in the deck.

McMenno has:
  • [14, 35, 343] { 7n } divisible by 7
  • [5, 6, 100] numbers used in , including substrings of other numbers, but not including the deck spoiler
Implosion has 14 points and:
DeathRowKitty has 9 points and :
  • [38, 82, 84] slots never touched by Ace, 5, or 9 in perfect out-shuffles of standard 52 card decks, mod 52
Felissan has:
  • [2, 4, 32, 256] { 2n } powers of two
  • [30, 40, 55] { 25 + (5n * (n + 1) / 2) } 25 + 5n, where n is a triangular number
NotMySpamAccount has:
  • [4, 20, 36, 68] { 16n + 4 } remainder is 4 when dividing by 16
StrangerCoug has 7 points and :
  • [17, 19, 43] primes

It is StrangerCoug's turn
Stuff I Found Online XV is in Day 4 | Sequencer is in Game 1 | Trees II is in Day 1

StrangerCoug
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Post Post #52  (ISO)  » Sun Oct 06, 2019 2:54 pm

[1, 10, 15] {n*(n-1)/2)}: the triangular numbers themselves
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Plotinus
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Post Post #53  (ISO)  » Sun Oct 06, 2019 2:58 pm

Spoiler: Finished sequences:
  • { n2 ± [0, 2] } numbers within 2 of a perfect square,
  • { n = a010d + a110d-1 + ... + ad100 with ai ≡ 1 (mod 2) ∀ i ∈ [1, 9], ∀ d > 0 } numbers with at least two digits, all of which are odd
  • { n is 0 or odd (mod 9) } numbers that are odd when you repeatedly sum their digits
  • n is the sum of the Scrabble point values of the letters in the US spelling of the numbers in the deck.

McMenno has:
  • [14, 35, 343] { 7n } divisible by 7
  • [5, 6, 100] numbers used in , including substrings of other numbers, but not including the deck spoiler
Implosion has 14 points and:
DeathRowKitty has 9 points and :
  • [38, 82, 84] slots never touched by Ace, 5, or 9 in perfect out-shuffles of standard 52 card decks, mod 52
Felissan has:
  • [2, 4, 32, 256] { 2n } powers of two
  • [30, 40, 55] { 25 + (5n * (n + 1) / 2) } 25 + 5n, where n is a triangular number
NotMySpamAccount has:
  • [4, 20, 36, 68] { 16n + 4 } remainder is 4 when dividing by 16
StrangerCoug has 7 points and :
  • [17, 19, 43] primes
  • [1, 10, 15] { n*(n-1)/2)}: triangular numbers

It is McMenno's turn
Stuff I Found Online XV is in Day 4 | Sequencer is in Game 1 | Trees II is in Day 1

McMenno
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Post Post #54  (ISO)  » Mon Oct 07, 2019 12:17 pm

squares
4, 16, 81
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Plotinus
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Post Post #55  (ISO)  » Mon Oct 07, 2019 1:17 pm

Spoiler: Finished sequences:
  • { n2 ± [0, 2] } numbers within 2 of a perfect square,
  • { n = a010d + a110d-1 + ... + ad100 with ai ≡ 1 (mod 2) ∀ i ∈ [1, 9], ∀ d > 0 } numbers with at least two digits, all of which are odd
  • { n is 0 or odd (mod 9) } numbers that are odd when you repeatedly sum their digits
  • n is the sum of the Scrabble point values of the letters in the US spelling of the numbers in the deck.

McMenno has:
  • [14, 35, 343] { 7n } divisible by 7
  • [5, 6, 100] numbers used in , including substrings of other numbers, but not including the deck spoiler
  • [4, 16, 81] { n2 } squares
Implosion has 14 points and:
DeathRowKitty has 9 points and :
  • [38, 82, 84] slots never touched by Ace, 5, or 9 in perfect out-shuffles of standard 52 card decks, mod 52
Felissan has:
  • [2, 4, 32, 256] { 2n } powers of two
  • [30, 40, 55] { 25 + (5n * (n + 1) / 2) } 25 + 5n, where n is a triangular number
NotMySpamAccount has:
  • [4, 20, 36, 68] { 16n + 4 } remainder is 4 when dividing by 16
StrangerCoug has 7 points and :
  • [17, 19, 43] primes
  • [1, 10, 15] { n*(n-1)/2)}: triangular numbers

It is implosion's turn
Stuff I Found Online XV is in Day 4 | Sequencer is in Game 1 | Trees II is in Day 1

Plotinus
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Post Post #56  (ISO)  » Tue Oct 08, 2019 12:20 pm

implosion has been prodded. It will be DeathRowKitty's turn in (expired on 2019-10-09 19:20:00) or as soon as implosion posts, whichever comes first.
Stuff I Found Online XV is in Day 4 | Sequencer is in Game 1 | Trees II is in Day 1

implosion
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Post Post #57  (ISO)  » Tue Oct 08, 2019 4:10 pm

Composite squarefree numbers where when you take the sum of prime factors and write it in english, at least 1/3 of the letters in the word are "e": [30, 42, 65]
30->2*3*5->ten
42->2*3*7->twelve
65->5*13->eighteen

StrangerCoug
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Post Post #58  (ISO)  » Tue Oct 08, 2019 6:49 pm

Mod: V/LA, no internet.
STRANGERCOUG: Stranger Than You!
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Plotinus
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Post Post #59  (ISO)  » Wed Oct 09, 2019 2:15 am

Spoiler: Finished sequences:
  • { n2 ± [0, 2] } numbers within 2 of a perfect square,
  • { n = a010d + a110d-1 + ... + ad100 with ai ≡ 1 (mod 2) ∀ i ∈ [1, 9], ∀ d > 0 } numbers with at least two digits, all of which are odd
  • { n is 0 or odd (mod 9) } numbers that are odd when you repeatedly sum their digits
  • n is the sum of the Scrabble point values of the letters in the US spelling of the numbers in the deck.

McMenno has:
  • [14, 35, 343] { 7n } divisible by 7
  • [5, 6, 100] numbers used in , including substrings of other numbers, but not including the deck spoiler
  • [4, 16, 81] { n2 } squares
Implosion has 14 points and:
  • [30, 42, 65] Composite squarefree numbers where when you take the sum of prime factors and write it in english, at least 1/3 of the letters in the word are "e"
DeathRowKitty has 9 points and :
  • [38, 82, 84] slots never touched by Ace, 5, or 9 in perfect out-shuffles of standard 52 card decks, mod 52
Felissan has:
  • [2, 4, 32, 256] { 2n } powers of two
  • [30, 40, 55] { 25 + (5n * (n + 1) / 2) } 25 + 5n, where n is a triangular number
NotMySpamAccount has:
  • [4, 20, 36, 68] { 16n + 4 } remainder is 4 when dividing by 16
StrangerCoug has 7 points:
  • [17, 19, 43] primes
  • [1, 10, 15] { n*(n-1)/2)}: triangular numbers

It is DeathRowKittys turn
Last edited by Plotinus on Wed Oct 09, 2019 10:49 am, edited 1 time in total.
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StrangerCoug
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Post Post #60  (ISO)  » Wed Oct 09, 2019 9:41 am

Mod: Out of V/LA.
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Plotinus
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Post Post #61  (ISO)  » Wed Oct 09, 2019 10:47 am

Welcome back!
Stuff I Found Online XV is in Day 4 | Sequencer is in Game 1 | Trees II is in Day 1

DeathRowKitty
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Post Post #62  (ISO)  » Wed Oct 09, 2019 11:37 am

[56, 57, 64] integers n for which there exists some integer m such that (n-1)/3m and (n-2)/3m are each endpoints of intervals removed during (possibly different) steps of the usual construction of the Cantor set (i.e. the construction in which each step removes the middle third of intervals existing after the previous step)


56: (1/3, 2/3) = (27/81, 54/81) is removed in step 1, (55/81, 56/81) is removed in step 4
57: (55/81, 56/81) is removed in step 4
64: (61/81, 62/81) is removed in step 4, (7/9, 8/9) = (63/81, 72/81) is removed in step 2
kero kero

Plotinus
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Post Post #63  (ISO)  » Wed Oct 09, 2019 12:26 pm

Spoiler: Finished sequences:
  • { n2 ± [0, 2] } numbers within 2 of a perfect square,
  • { n = a010d + a110d-1 + ... + ad100 with ai ≡ 1 (mod 2) ∀ i ∈ [1, 9], ∀ d > 0 } numbers with at least two digits, all of which are odd
  • { n is 0 or odd (mod 9) } numbers that are odd when you repeatedly sum their digits
  • n is the sum of the Scrabble point values of the letters in the US spelling of the numbers in the deck.

McMenno has:
  • [14, 35, 343] { 7n } divisible by 7
  • [5, 6, 100] numbers used in , including substrings of other numbers, but not including the deck spoiler
  • [4, 16, 81] { n2 } squares
Implosion has 14 points and:
  • [30, 42, 65] Composite squarefree numbers where when you take the sum of prime factors and write it in english, at least 1/3 of the letters in the word are "e"
DeathRowKitty has 9 points and :
  • [38, 82, 84] slots never touched by Ace, 5, or 9 in perfect out-shuffles of standard 52 card decks, mod 52
  • [56, 57, 64] integers n for which there exists some integer m such that (n-1)/3m and (n-2)/3m are each endpoints of intervals removed during (possibly different) steps of the usual construction of the Cantor set (i.e. the construction in which each step removes the middle third of intervals existing after the previous step)
Felissan has:
  • [2, 4, 32, 256] { 2n } powers of two
  • [30, 40, 55] { 25 + (5n * (n + 1) / 2) } 25 + 5n, where n is a triangular number
NotMySpamAccount has:
  • [4, 20, 36, 68] { 16n + 4 } remainder is 4 when dividing by 16
StrangerCoug has 7 points:
  • [17, 19, 43] primes
  • [1, 10, 15] { n*(n-1)/2)}: triangular numbers

It is Felissan's turn
Stuff I Found Online XV is in Day 4 | Sequencer is in Game 1 | Trees II is in Day 1

Plotinus
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Post Post #64  (ISO)  » Thu Oct 10, 2019 11:40 am

Felissan has been prodded. It will be NotMySpamAccount's turn in (expired on 2019-10-11 18:40:00) or as soon as Felissan posts, whichever happens sooner.
Stuff I Found Online XV is in Day 4 | Sequencer is in Game 1 | Trees II is in Day 1

Felissan
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Post Post #65  (ISO)  » Fri Oct 11, 2019 10:15 am

I play 79, 87 and 92 as numbers that contain a 8 or a 9.
"Dammit Felissan, making someone lose the game is NOT NICE" - DeathRowKitty 2016
"Also, the me in your signature just made the me in this thread lose the game and I'm not sure how to feel about this." - DeathRowKitty 2018
I believe in you, Miss Zirconium! <3

Ranking vids from a dead youtube meme playlist, for obvious reasons

Plotinus
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Post Post #66  (ISO)  » Fri Oct 11, 2019 12:54 pm

Spoiler: Finished sequences:
  • { n2 ± [0, 2] } numbers within 2 of a perfect square,
  • { n = a010d + a110d-1 + ... + ad100 with ai ≡ 1 (mod 2) ∀ i ∈ [1, 9], ∀ d > 0 } numbers with at least two digits, all of which are odd
  • { n is 0 or odd (mod 9) } numbers that are odd when you repeatedly sum their digits
  • n is the sum of the Scrabble point values of the letters in the US spelling of the numbers in the deck.

McMenno has:
  • [14, 35, 343] { 7n } divisible by 7
  • [5, 6, 100] numbers used in , including substrings of other numbers, but not including the deck spoiler
  • [4, 16, 81] { n2 } squares
Implosion has 14 points and:
  • [30, 42, 65] Composite squarefree numbers where when you take the sum of prime factors and write it in english, at least 1/3 of the letters in the word are "e"
DeathRowKitty has 9 points and :
  • [38, 82, 84] slots never touched by Ace, 5, or 9 in perfect out-shuffles of standard 52 card decks, mod 52
  • [56, 57, 64] integers n for which there exists some integer m such that (n-1)/3m and (n-2)/3m are each endpoints of intervals removed during (possibly different) steps of the usual construction of the Cantor set (i.e. the construction in which each step removes the middle third of intervals existing after the previous step)
Felissan has:
  • [2, 4, 32, 256] { 2n } powers of two
  • [30, 40, 55] { 25 + (5n * (n + 1) / 2) } 25 + 5n, where n is a triangular number
  • [79, 87, 92] { maxdigit(n) > 7 } numbers that contain an 8 or 9
NotMySpamAccount has:
  • [4, 20, 36, 68] { 16n + 4 } remainder is 4 when dividing by 16
StrangerCoug has 7 points:
  • [17, 19, 43] primes
  • [1, 10, 15] { n*(n-1)/2)}: triangular numbers

It is NotMySpamAccount's turn
Stuff I Found Online XV is in Day 4 | Sequencer is in Game 1 | Trees II is in Day 1

NotMySpamAccount
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Post Post #67  (ISO)  » Fri Oct 11, 2019 9:19 pm

Add 25 to the squares.
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StrangerCoug
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Post Post #68  (ISO)  » Fri Oct 11, 2019 9:21 pm

Add 11 and 71 to the primes
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Plotinus
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Post Post #69  (ISO)  » Sat Oct 12, 2019 12:51 am

Spoiler: Finished sequences:
  • { n2 ± [0, 2] } numbers within 2 of a perfect square,
  • { n = a010d + a110d-1 + ... + ad100 with ai ≡ 1 (mod 2) ∀ i ∈ [1, 9], ∀ d > 0 } numbers with at least two digits, all of which are odd
  • { n is 0 or odd (mod 9) } numbers that are odd when you repeatedly sum their digits
  • n is the sum of the Scrabble point values of the letters in the US spelling of the numbers in the deck.

McMenno has:
  • [14, 35, 343] { 7n } divisible by 7
  • [5, 6, 100] numbers used in , including substrings of other numbers, but not including the deck spoiler
Implosion has 14 points and:
  • [30, 42, 65] Composite squarefree numbers where when you take the sum of prime factors and write it in english, at least 1/3 of the letters in the word are "e"
DeathRowKitty has 9 points and :
  • [38, 82, 84] slots never touched by Ace, 5, or 9 in perfect out-shuffles of standard 52 card decks, mod 52
  • [56, 57, 64] integers n for which there exists some integer m such that (n-1)/3m and (n-2)/3m are each endpoints of intervals removed during (possibly different) steps of the usual construction of the Cantor set (i.e. the construction in which each step removes the middle third of intervals existing after the previous step)
Felissan has:
  • [2, 4, 32, 256] { 2n } powers of two
  • [30, 40, 55] { 25 + (5n * (n + 1) / 2) } 25 + 5n, where n is a triangular number
  • [79, 87, 92] { maxdigit(n) > 7 } numbers that contain an 8 or 9
NotMySpamAccount has:
  • [4, 20, 36, 68] { 16n + 4 } remainder is 4 when dividing by 16
  • [4, 16, 25, 81] { n2 } squares
StrangerCoug has 7 points:
  • [11, 17, 19, 71, 43] primes
  • [1, 10, 15] { n*(n-1)/2)}: triangular numbers

There are 117 cards left in the deck. It is McMenno's turn
Stuff I Found Online XV is in Day 4 | Sequencer is in Game 1 | Trees II is in Day 1

Plotinus
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Post Post #70  (ISO)  » Sun Oct 13, 2019 1:48 am

McMenno has been prodded. It will be implosion's turn in (expired on 2019-10-14 08:47:00), or as soon as McMenno posts, whichever happens first.
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McMenno
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Post Post #71  (ISO)  » Sun Oct 13, 2019 4:38 pm

add 76 to drk's thing.
75/81 = 25/27, and (25/27, 26/27) is removed in step 3.
(73/81, 74/81) is removed in step 4.
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implosion
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Post Post #72  (ISO)  » Sun Oct 13, 2019 9:29 pm

Numbers congruent to 1 mod 4 whose last digit, written in english, can have the letters "ty" appended to the end of it to multiply it by ten (e.g., "six" times ten is "sixty", but "fourty" is not a number, so the last digit cannot be four):

9, 17, 69, 77.

Plotinus
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Post Post #73  (ISO)  » Mon Oct 14, 2019 1:52 am

Spoiler: Finished sequences:
  • { n2 ± [0, 2] } numbers within 2 of a perfect square,
  • { n = a010d + a110d-1 + ... + ad100 with ai ≡ 1 (mod 2) ∀ i ∈ [1, 9], ∀ d > 0 } numbers with at least two digits, all of which are odd
  • { n is 0 or odd (mod 9) } numbers that are odd when you repeatedly sum their digits
  • n is the sum of the Scrabble point values of the letters in the US spelling of the numbers in the deck.

McMenno has:
  • [14, 35, 343] { 7n } divisible by 7
  • [5, 6, 100] numbers used in , including substrings of other numbers, but not including the deck spoiler
  • [56, 57, 64, 76] integers n for which there exists some integer m such that (n-1)/3m and (n-2)/3m are each endpoints of intervals removed during (possibly different) steps of the usual construction of the Cantor set (i.e. the construction in which each step removes the middle third of intervals existing after the previous step)
Implosion has 14 points and:
  • [30, 42, 65] Composite squarefree numbers where when you take the sum of prime factors and write it in english, at least 1/3 of the letters in the word are "e"
  • [9, 17, 69, 77] { n ≡ 1 (mod 4) ∧ n ≥ 7 (mod 10) } Numbers congruent to 1 mod 4 whose last digit, written in english, can have the letters "ty" appended to the end of it to multiply it by ten (e.g., "six" times ten is "sixty", but "fourty" is not a number, so the last digit cannot be four)
DeathRowKitty has 9 points and :
  • [38, 82, 84] slots never touched by Ace, 5, or 9 in perfect out-shuffles of standard 52 card decks, mod 52
Felissan has:
  • [2, 4, 32, 256] { 2n } powers of two
  • [30, 40, 55] { 25 + (5n * (n + 1) / 2) } 25 + 5n, where n is a triangular number
  • [79, 87, 92] { maxdigit(n) > 7 } numbers that contain an 8 or 9
NotMySpamAccount has:
  • [4, 20, 36, 68] { 16n + 4 } remainder is 4 when dividing by 16
  • [4, 16, 25, 81] { n2 } squares
StrangerCoug has 7 points:
  • [11, 17, 19, 71, 43] primes
  • [1, 10, 15] { n*(n-1)/2)}: triangular numbers

There are 112 cards left in the deck. It is DeathRowKitty's turn
Stuff I Found Online XV is in Day 4 | Sequencer is in Game 1 | Trees II is in Day 1

StrangerCoug
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Post Post #74  (ISO)  » Mon Oct 14, 2019 10:59 am

In post 73, Plotinus wrote:
  • [9, 17, 69, 77] { n ≡ 1 (mod 4) ∧ n ≥ 7 (mod 10) } Numbers congruent to 1 mod 4 whose last digit, written in english, can have the letters "ty" appended to the end of it to multiply it by ten (e.g., "six" times ten is "sixty", but "fourty" is not a number, so the last digit cannot be four)

Mod: Are you sure the part after the ∧ shouldn't read n ≥ 6 (mod 10)?

Scratch that; n ≡ 1 (mod 4) implies it has to be odd. Missed that.
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