Sequencer | StrangerCoug's turn

[Sirius9121]

submit: all numbers as
the 11th digit after the . of cos(x) is a sum of two or more consecutive positive odd numbers
equalivent = 11th digit after . of cos(x) = 4,8,9
fits 38 of 100 in 1-100

example: cos(2)=0.4161468365

4

7

4 = 1 + 3
8 = 3 + 5
9 = 1 + 3 + 5

[Plotinus]

Spoiler: completed sequences

• [5, 10, 20, 25, 30, 80, 100, 220, 1000] multiples of 5
• [6, 50, 128, 4, 20, 25, 625,] 5-smooth numbers

Swinnerton

-

Dyer

:

StrangerCoug

,

Farren

(8 points):

• [4, 144, 1000] perfect powers (power must be greater than or equal to 2)

Navier

-

Stokes

:

Nancy Drew 39

,

Rockhopper

(0 points):

• [3, 17, 31] primes
  
• [64, 37, 10, 21, 29] either the digit sum adds up to 10, or the number itself is ten, or two numbers submitted together add up to a multiple of ten

Yang

-

Mills

:

Sirius9121

,

Not_Mafia

(9 points):

• [18, 81, 84] 2-digit numbers where exactly one digit is an 8

It is

Sirius9121's

turn ((expired on 2020-10-21 09:41:00))

I've been thinking about that since you presubmitted it sirius and on the one hand, bingos are only worth 8 points now so I'm hoping it'll matter less if a sequence is overengineered, but on the otherhand, the cos of most numbers is an infinite string of randomish numbers, so the chance of finding something that matches your hand approaches 100%

like suppose my hand is

In [265]: random.choices(range(1,101), k=7)
Out[265]: [3, 18, 27, 49, 14, 56, 94]

Then

In [263]: [math.cos(x*math.pi/180) for x in [3, 18, 27, 49, 14, 56, 94]]

[0.9986295347545738,
0.9510565162951535,
0.8910065241883679,
0.6560590289905073,
0.9702957262759965,
0.5591929034707468,
-0.06975647374412533]

Then digit by digit, I have these options to choose from: 0, 5, 6, 8, 9
9, 5, 7, 6
8, 1, 6, 0, 9
6, 0, 2, 1, 7,
2, 5, 0, 9
9, 6, 5, 2
5, 0, 7, 9, 4
0, 1, 2, 3, 7
3, 4, 6, 8,
7, 2, 1, 9, 4
5, 9, 8, 9, 7, 4
4, 5, 8, 0,
1, 3, 5, 7, 9 --- probably you could have found a sequence before this point, but here is the first one that is jumping out to me, the 13th digit is odd.

So this one is still running into the meta rule that says only 1% of "is the nth digit of the cos(x) interesting" should be a bingo

[Sirius9121]

Ok.

2,7,11,29 to primes

[Plotinus]

Spoiler: completed sequences

• [5, 10, 20, 25, 30, 80, 100, 220, 1000] multiples of 5
  
• [6, 50, 128, 4, 20, 25, 625,] 5-smooth numbers
  
• [3, 17, 31, 2, 7, 11, 29] primes

Swinnerton

-

Dyer

:

StrangerCoug

,

Farren

(8 points):

• [4, 144, 1000] perfect powers (power must be greater than or equal to 2)

Navier

-

Stokes

:

Nancy Drew 39

,

Rockhopper

(0 points):

• [64, 37, 10, 21, 29] either the digit sum adds up to 10, or the number itself is ten, or two numbers submitted together add up to a multiple of ten

Yang

-

Mills

:

Sirius9121

,

Not_Mafia

(16 points):

• [18, 81, 84] 2-digit numbers where exactly one digit is an 8

Edit: Yang-Mills gains 7 points. It is

Farren's

turn ((expired on 2020-10-22 10:26:35))

[Sirius9121]

no,its to navierstokes primes

7 points to me

[Plotinus]

whoops, thanks for correcting me. You get 7 points

[Farren]

New sequence.

5, 10, 600: multiples of 5.

Edit> Scratch that; missed that it'd already been done. Will try to come up with something else.

[Farren]

New sequence.

5,57,600: first digit is either a 5 or 6.

[Rockhopper]

add

28, 1, 6, 4, 19

to nancy's sequence

[Plotinus]

Spoiler: completed sequences

• [5, 10, 20, 25, 30, 80, 100, 220, 1000] multiples of 5
  
• [6, 50, 128, 4, 20, 25, 625,] 5-smooth numbers
  
• [3, 17, 31, 2, 7, 11, 29] primes
  
• [64, 37, 10, 21, 29, 28, 1, 6, 4, 19] either the digit sum adds up to 10, or the number itself is ten, or two numbers submitted together add up to a multiple of ten

Swinnerton

-

Dyer

:

StrangerCoug

,

Farren

(8 points):

• [4, 144, 1000] perfect powers (power must be greater than or equal to 2)
  
• [5, 57, 600] first digit is a 5 or a 6

Navier

-

Stokes

:

Nancy Drew 39

,

Rockhopper

(10 points):

Yang

-

Mills

:

Sirius9121

,

Not_Mafia

(16 points):

• [18, 81, 84] 2-digit numbers where exactly one digit is an 8

Navier-Stokes gains 10 points. It is

Not_Mafia's

turn ((expired on 2020-10-22 19:03:45))

[Rockhopper]

Navier-Stokes gains 10 points.

yay!

[Not_Mafia]

25 to perfect powers

[Plotinus]

Spoiler: completed sequences

• [5, 10, 20, 25, 30, 80, 100, 220, 1000] multiples of 5
  
• [6, 50, 128, 4, 20, 25, 625,] 5-smooth numbers
  
• [3, 17, 31, 2, 7, 11, 29] primes
  
• [64, 37, 10, 21, 29, 28, 1, 6, 4, 19] either the digit sum adds up to 10, or the number itself is ten, or two numbers submitted together add up to a multiple of ten

Swinnerton

-

Dyer

:

StrangerCoug

,

Farren

(8 points):

• [5, 57, 600] first digit is a 5 or a 6

Navier

-

Stokes

:

Nancy Drew 39

,

Rockhopper

(10 points):

Yang

-

Mills

:

Sirius9121

,

Not_Mafia

(16 points):

• [18, 81, 84] 2-digit numbers where exactly one digit is an 8
  
• [4, 25, 144, 1000] perfect powers (power must be greater than or equal to 2)

It is

StrangerCoug's

turn ((expired on 2020-10-23 11:21:28))

[StrangerCoug]

23, 56, 300: Numbers whose digit sum is prime

[Plotinus]

Spoiler: completed sequences

• [5, 10, 20, 25, 30, 80, 100, 220, 1000] multiples of 5
  
• [6, 50, 128, 4, 20, 25, 625,] 5-smooth numbers
  
• [3, 17, 31, 2, 7, 11, 29] primes
  
• [64, 37, 10, 21, 29, 28, 1, 6, 4, 19] either the digit sum adds up to 10, or the number itself is ten, or two numbers submitted together add up to a multiple of ten

Swinnerton

-

Dyer

:

StrangerCoug

,

Farren

(8 points):

• [5, 57, 600] first digit is a 5 or a 6
  
• [23, 56, 300] Numbers whose digit sum is prime

Navier

-

Stokes

:

Nancy Drew 39

,

Rockhopper

(10 points):

Yang

-

Mills

:

Sirius9121

,

Not_Mafia

(16 points):

• [18, 81, 84] 2-digit numbers where exactly one digit is an 8
  
• [4, 25, 144, 1000] perfect powers (power must be greater than or equal to 2)

It is

Nancy Drew 39

's turn ((expired on 2020-10-23 20:35:00))

[Plotinus]

prodded Nancy Drew 39

[Nancy Drew 39]

prodded Nancy Drew 39

512, 529, 729

Triple digit numbers

[Sirius9121]

6n-1 is a prime which it's (6n-1's) first number is a palindrome in base 4

Equalivent to (6n+1 is a prime starting with 1, 2, 3 or 5)

[Sirius9121]

*waves to plotinus*

[Sirius9121]

prodded Plotinus

[Nancy Drew 39]

I am V/LA until Friday.

[Plotinus]

Spoiler: completed sequences

• [5, 10, 20, 25, 30, 80, 100, 220, 1000] multiples of 5
  
• [6, 50, 128, 4, 20, 25, 625,] 5-smooth numbers
  
• [3, 17, 31, 2, 7, 11, 29] primes
  
• [64, 37, 10, 21, 29, 28, 1, 6, 4, 19] either the digit sum adds up to 10, or the number itself is ten, or two numbers submitted together add up to a multiple of ten

Swinnerton

-

Dyer

:

StrangerCoug

,

Farren

(8 points):

• [5, 57, 600] first digit is a 5 or a 6
  
• [23, 56, 300] Numbers whose digit sum is prime

Navier

-

Stokes

:

Nancy Drew 39

,

Rockhopper

(10 points):

• [512, 529, 729] triple digit numbers

Yang

-

Mills

:

Sirius9121

,

Not_Mafia

(16 points):

• [18, 81, 84] 2-digit numbers where exactly one digit is an 8
  
• [4, 25, 144, 1000] perfect powers (power must be greater than or equal to 2)

It is

Sirius9121

's turn ((expired on 2020-10-28 00:49:20))

sorry, i haven't been feeling well since Thursday and I haven't be able to tell whether your sequence meets the rules or not.

I suspect it doesn't because there are an infinite number of things i could multiply my cards by to get them to all start with something? You posted this 10 hours after Nancy did so you've only used up 10 hours of your turn.

Nancy is V/LA until Friday

[Farren]

Your sequence shouldn't have more than 2 working parts, for example "the number is

prime

mod 7

" has two parts and is allowed. The

digit sum

of

x²

is

less than 5

and

x³

ends in a prime number

has four parts and is not allowed.

It might also not abide by this rule?

6n-1
prime
first digit is (1/2/3/5).

If I understand this rule correctly, that's three parts - one more than allowed for a bingo.

[Plotinus]

Yeah, that's too many parts.

[Plotinus]

prodded Sirius. i'm probably going out tomorrow morning, so he has until i get home -- if i haven't updated things yet then he can submit something