Sequencer | StrangerCoug's turn

[Plotinus]

My understanding of the doubleletter sequence is that the letter is repeated immediately: thirt

ee

n, sixt

een

, thr

ee

hundred forty thr

ee

, but D3f3nd3r can clarify what they meant

[Sirius9121]

Ah.

Is crossteaming allowed anyway?

[D3f3nd3r]

My understanding of the doubleletter sequence is that the letter is repeated immediately: thirt

ee

n, sixt

een

, thr

ee

hundred forty thr

ee

, but D3f3nd3r can clarify what they meant

Yeah that’s what I meant. I thought I clarified it, but I ISO’d myself and I guess I didn’t...sorry.

[Sirius9121]

Nancy, post your numbers on your turn IF you dont have any repeating numbers.

[D3f3nd3r]

Nancy, post your numbers on your turn IF you dont have any repeating numbers.

Or, alternatively, see if you can get anything and then post them if you aren't able to think of something

[Sirius9121]

Nancy, post your numbers on your turn IF you dont have any repeating numbers.

Or, alternatively, see if you can get anything and then post them if you aren't able to think of something

But we get a 100% winrate if Nancy gets a bingo! I have duplicates!

[Errantparabola]

jesus

[Plotinus]

Sirius, I think that when you vowed to make the game unfun by bingoing every turn, you upset the other players, who were hoping that whether or not they won, they would have a good time. It is possible to have fun even when you are losing, but it requires the players to collaborate together to maintain the spirit of fun. It is especially important to be considerate of the spirit of fun when you're in the lead.

Part of that is being gracious when winning. if you have more points than everyone else, it's antifun to act like it's the end of the world whenever someone else gains points.

Part of that is being encouraging of people who are exploring new ideas, but not rushing in to do it for them. When you were learning math, if someone had said "oh don't bother learning to add, I'll just add them for you, I can do it quicker and I won't make any mistakes." and then a bit later "Don't bother trying to figuring out the proof for yourself I'll just tell you how Gauss did it," then you would never have learnt to do math or to love math. You learn math by doing math, by pausing and pondering and wrestling with the problem. It's not a spectator sport. Telling someone to post their cards is like saying a combination of "I don't think you'll ever be able to contribute anything of value on your own," and "I care more about points than I care about someone learning that they can do math after all."

Upsetting the other players has some natural consequences, like players wanting to team up against you because they feel that they are playing a broken game in which the only way to win is to adopt a high stress playstyle that isn't fun or what they signed up for. It's like if you signed up for a game of chess but discovered you had to spend 30 hours grinding carrots to level up the knight's horse, or that you had to check on your rook building every four hours or the bricks would fail. I am disinclined to intervene in attempts to get back to playing with numbers and discovering cool stuff together. I care about all of the players. I want all of the players to be able to win without tedious grinding because this isn't a grinding game.

Smart people often feel like intelligence is their entire personality, the only aspect of them that matters, because you've been praised for your intellect -- and nothing else -- for your entire life. So whenever you don't know something you worry that people are gonna find out that you're not a genius after all -- so you resolve to be better and brighter and cleverer and you think that if only you are the bestest brightest cleverest then you will be liked. But it doesn't work, it just makes people want to take you down a peg, because they feel like you're being clever at their expense. There is a better way to smart, an intelligence that lifts up all those around you, making everyone feel like they've become a better, smarter person because you're around.

Spoiler: like this

If you are gracious and encouraging, and if people feel like you would congratulate them if they won, then other people will generally be happy for you when you win.

[Plotinus]

My understanding of the doubleletter sequence is that the letter is repeated immediately: thirt

ee

n, sixt

een

, thr

ee

hundred forty thr

ee

, but D3f3nd3r can clarify what they meant

Yeah that’s what I meant. I thought I clarified it, but I ISO’d myself and I guess I didn’t...sorry.

Also, you need to think of a different move because the one you submitted doesn't fit this sequence. I think this sequence would've been finished a long time ago if your interpretation were the right one because almost all numbers in english have repeated letters.

[D3f3nd3r]

Yeah, that’s true - if that’s what I meant then any number greater than 100 would have worked, as well as any number between 20-39, 50-59, 70-79, 90-99, and more.

[D3f3nd3r]

(Which makes me realize that my “no duplicated letters” is a LOT harder to complete than I thought it was when I made it!)

[Sirius9121]

4,12,52,24 as numbers that start in a even number that is smaller than 5.

im sorry if i runied some people's fun.

[Sirius9121]

..

[Plotinus]

Spoiler: completed sequences

• [24, 2, 43, 15, 256, 4, 20] at least half of the digits of n² - 1 are the same number and this repeating number is a number that is shown on the middle or right hand side of a keypad
  
• [6, 10, 120, 750, 9, 30, 1000] {
  n = 2

  i

  × 3

  j

  × 5

  k

  for some non-negative integers

  i

  ,

  j

  ,

  k
  } 5-smooth numbers
• [46, 59, 164, 89, 61, 104, 106] In base 8, at least 50% of the numbers are a same repeating digit and the repeating digit is a square of any non-negative integer (0,1,4)
  
• [14, 15, 5, 57, 81, 19, 60] the first number of x is a term of 'a(n) is the largest term in the continued fraction for a(n-1) + n^2/a(n-1), where a(1)=1.'
  
• [69, 529, 14, 15, 28, 45, 92, 1000] “integer multiples of the jersey numbers from the starters on the Los Angeles Lakers in their game on August 13” (those jersey numbers are 23, 88, 5, 7, and 14)
  
• [21, 8, 1, 42, 94, 35, 100] digit sum is a term of 'Partial sums of the positive integers n according to the rule: if n is square then add sqrt(n) else add n.'
  
• [ 61, 56, 216, 66, 13, 1, 8]numbers that are odd mod 5
  
• [18, 29, 37, 82, 243, 81, 55] Numbers whose digit sum is between 9 and 11 inclusive
  
• [10, 20, 200, 1, 5, 400, 500, 700] Numbers with only one nonzero digit
  
• [9, 27, 35, 36, 11, 63, 83] numbers that, when mapped onto the 88 keys of the keyboard with 1 being the lowest and 88 being the highest, represent notes that are members of a G7b9 chord (namely, the notes G, B, D, F, and Ab)
  
• [34, 400, 9, 15, 27, 87, 53] x²'s first digit is a term of 'a(n) is the number of palindromic numbers with 7 digits in base n which are also palindromic in base n+1.'
  
• [5, 25, 27, 36, 64, 96, 98 7 smooth numbers
  
• [11, 32, 34, 128, 676, 3, 85, 21] Numbers whose digit sum is prime
  
• [2, 64, 50, 6, 84, 74, 50] {
  2n
  } multiples of 2
  
• [5, 17, 70, 7, 31, 39, 71.] squarefree
  
• [95, 3, 17, 48, 11, 47, 45] the first digit of x, converted into base 3, has no 2
  
• [841, 576, 36, 49, 25, 169, 484, 900] {
  n²
  }square numbers
  
• [10, 13, 19, 81, 67, 16, 64] contains a digit equivalent to 1 mod 5
  
• [196, 17, 441, 33, 42, 16, 3] the first digit of x fulfills 'a(n) = binomial(n, floor((n-1)/2)).'
  
• [9, 73, 90, 7, 1, 6, 12] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
  
• [8, 18, 44, 1, 324, 22, 800, 1000] digit sum is a perfect power (k^n with n > 1, k and n are integers)
  
• [28, 5, 1, 100, 784, 6, 38] the digit sum of the digit sum of y = k, k and k+1 are both squarefree
  
• [10, 30, 35, 220, 250, 70, 20] multiples of 5
  
• [56, 79, 46, 13, 45, 88, 72] The number mod 11 contains a letter whose capital ASCII representation has a digit sum of exactly 16
  
• [1, 26, 29 729, 900, 78, 30] The number contains the digit 9, or two numbers played at the same time add up to a multiple of 9

Haversine: vincentw, ErrantParabola: 72 points

• [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
  
• [2, 86, 165] within 3 of a multiple of 83
  
• [41, 51, 89] numbers equivalent to ±1 mod 10

Exsecant: Sirius9121, Nancy Drew 39: 92 points

• [1, 8, 9, 2] {
  n < 10
  } single digit numbers
  
• [12, 20, 28] {
  n ≡ 4 (mod 8)
  } divided by 8 leaves a remainder of 4
  
• [1, 8, 15] {
  7n+1
  } divided by 7 leaves a remainder of 1
  
• [14, 35, 56] {
  7n
  } divisible by 7
  
• [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
  
• [32, 1, 58, 256] The card is itself 13, 31; or the digit sum of the card is 13 or 31; or two cards played together have a digit sum of 13, 31; or two cards played at the same time can be added to or subtracted from each other to achieve 13 or 31.
  
• [4,12,52,24] even numbers that have a 2 or a 4 in the ones place

Chord: StrangerCoug, D3f3nd3r: 72 points

• [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
  
• [13, 16, 343] numbers containing a double letter when written out
  
• [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)

4,12,52,24 as numbers that start in a even number that is smaller than 5.

im sorry if i runied some people's fun.

Thank you for your apology. Do you mean even numbers that start in a number smaller than 5? If not, let me know and I'll change it.

It's

StrangerCoug

's turn. There are 6 cards left in the deck. When there is no cards left in the deck, we try to complete the sequences that are in play -- you don't have to start a new sequence if you don't want to but you do have to play at least one card to an existing sequence if you can. The game will end when nobody can make any moves (when all 6 people pass in a row)

[D3f3nd3r]

He may also mean "start" as the least significant digit. Can't think of anything else, because 52 starts with a 5 otherwise.

[StrangerCoug]

65, 89, 729: Numbers whose digit sum is greater than 10

[Errantparabola]

oh shit if i can take cards i still have a chance!!!!!!!!!!

[Sirius9121]

basically start with a 2 or 4

[Errantparabola]

[41, 51, 89] numbers equivalent to ±1 mod 10

i'll play 289 on this

[D3f3nd3r]

basically start with a 2 or 4

By “start” do you mean most significant digit or least? Like would 237 be okay or would 732 be? And in the latter case presumably something like 70 would be fine too?

[Sirius9121]

basically start with a 2 or 4

By “start” do you mean most significant digit or least? Like would 237 be okay or would 732 be? And in the latter case presumably something like 70 would be fine too?

first digit

[Plotinus]

I'm currently assuming that by starts with 2 or 4, you mean "equivalent to 2 or 4 mod 10", because you included the numbers 52 and 12. The confusion is because we aren't sure whether "starting" and "first" counts from the left or from the right - In English, it's customary to start on the left, but I assume other languages have other customs.

[Plotinus]

Spoiler: completed sequences

• [24, 2, 43, 15, 256, 4, 20] at least half of the digits of n² - 1 are the same number and this repeating number is a number that is shown on the middle or right hand side of a keypad
  
• [6, 10, 120, 750, 9, 30, 1000] {
  n = 2

  i

  × 3

  j

  × 5

  k

  for some non-negative integers

  i

  ,

  j

  ,

  k
  } 5-smooth numbers
• [46, 59, 164, 89, 61, 104, 106] In base 8, at least 50% of the numbers are a same repeating digit and the repeating digit is a square of any non-negative integer (0,1,4)
  
• [14, 15, 5, 57, 81, 19, 60] the first number of x is a term of 'a(n) is the largest term in the continued fraction for a(n-1) + n^2/a(n-1), where a(1)=1.'
  
• [69, 529, 14, 15, 28, 45, 92, 1000] “integer multiples of the jersey numbers from the starters on the Los Angeles Lakers in their game on August 13” (those jersey numbers are 23, 88, 5, 7, and 14)
  
• [21, 8, 1, 42, 94, 35, 100] digit sum is a term of 'Partial sums of the positive integers n according to the rule: if n is square then add sqrt(n) else add n.'
  
• [ 61, 56, 216, 66, 13, 1, 8]numbers that are odd mod 5
  
• [18, 29, 37, 82, 243, 81, 55] Numbers whose digit sum is between 9 and 11 inclusive
  
• [10, 20, 200, 1, 5, 400, 500, 700] Numbers with only one nonzero digit
  
• [9, 27, 35, 36, 11, 63, 83] numbers that, when mapped onto the 88 keys of the keyboard with 1 being the lowest and 88 being the highest, represent notes that are members of a G7b9 chord (namely, the notes G, B, D, F, and Ab)
  
• [34, 400, 9, 15, 27, 87, 53] x²'s first digit is a term of 'a(n) is the number of palindromic numbers with 7 digits in base n which are also palindromic in base n+1.'
  
• [5, 25, 27, 36, 64, 96, 98 7 smooth numbers
  
• [11, 32, 34, 128, 676, 3, 85, 21] Numbers whose digit sum is prime
  
• [2, 64, 50, 6, 84, 74, 50] {
  2n
  } multiples of 2
  
• [5, 17, 70, 7, 31, 39, 71.] squarefree
  
• [95, 3, 17, 48, 11, 47, 45] the first digit of x, converted into base 3, has no 2
  
• [841, 576, 36, 49, 25, 169, 484, 900] {
  n²
  }square numbers
  
• [10, 13, 19, 81, 67, 16, 64] contains a digit equivalent to 1 mod 5
  
• [196, 17, 441, 33, 42, 16, 3] the first digit of x fulfills 'a(n) = binomial(n, floor((n-1)/2)).'
  
• [9, 73, 90, 7, 1, 6, 12] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
  
• [8, 18, 44, 1, 324, 22, 800, 1000] digit sum is a perfect power (k^n with n > 1, k and n are integers)
  
• [28, 5, 1, 100, 784, 6, 38] the digit sum of the digit sum of y = k, k and k+1 are both squarefree
  
• [10, 30, 35, 220, 250, 70, 20] multiples of 5
  
• [56, 79, 46, 13, 45, 88, 72] The number mod 11 contains a letter whose capital ASCII representation has a digit sum of exactly 16
  
• [1, 26, 29 729, 900, 78, 30] The number contains the digit 9, or two numbers played at the same time add up to a multiple of 9

Haversine: vincentw, ErrantParabola: 72 points

• [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
  
• [2, 86, 165] within 3 of a multiple of 83
  
• [41, 51, 89, 289] numbers equivalent to ±1 mod 10

Exsecant: Sirius9121, Nancy Drew 39: 92 points

• [1, 8, 9, 2] {
  n < 10
  } single digit numbers
  
• [12, 20, 28] {
  n ≡ 4 (mod 8)
  } divided by 8 leaves a remainder of 4
  
• [1, 8, 15] {
  7n+1
  } divided by 7 leaves a remainder of 1
  
• [14, 35, 56] {
  7n
  } divisible by 7
  
• [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
  
• [32, 1, 58, 256] The card is itself 13, 31; or the digit sum of the card is 13 or 31; or two cards played together have a digit sum of 13, 31; or two cards played at the same time can be added to or subtracted from each other to achieve 13 or 31.
  
• [4,12,52,24] even numbers that have a 2 or a 4 in the ones place

Chord: StrangerCoug, D3f3nd3r: 72 points

• [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
  
• [13, 16, 343] numbers containing a double letter when written out
  
• [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
  
• [65, 89, 729] digit sum is greater than 10

It's

Nancy Drew 39

's turn. There are 2 cards left in the deck. When there is no cards left in the deck, we try to complete the sequences that are in play -- you don't have to start a new sequence if you don't want to but you do have to play at least one card to an existing sequence if you can. The game will end when nobody can make any moves (when all 6 people pass in a row)

[Sirius9121]

I'm currently assuming that by starts with 2 or 4, you mean "equivalent to 2 or 4 mod 10", because you included the numbers 52 and 12. The confusion is because we aren't sure whether "starting" and "first" counts from the left or from the right - In English, it's customary to start on the left, but I assume other languages have other customs.

First digit from the right.

IMO (2 or 4 mod 10)

[Plotinus]

Thanks for clarifying. It's interesting how different languages think about this