Guess the sequence [GAME]

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ColorfulGalaxy
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Re: Guess the sequence [GAME]

Post by ColorfulGalaxy »

ColorfulGalaxy wrote: July 19th, 2020, 7:13 am

Code: Select all

0, 0, 3, 6, 12, 0, 24, 40, 24, [missing], 6, 12, 6, 0, 0, 24, 16, 0, 0, 8, 6, 16, 0, 0, 56...
Hint: ash (Press Ctrl+A)
[ code]x = n, y = 1, rule = B3/S23
no![/code]


Also, Please DO NOT put this puzzle on Puzzling Stack Exchange (or other puzzling websites) until someone solved it!!!
Oh, my God, someone really posted this on Stack Exchange!!!!
I've already reported the sequence.
http://puzzling.stackexchange.com/quest ... uence-game

Here's another sequence:

Code: Select all

0, 0, 0, 4, 6, 8, 0, 0, 0, 0, 6, 12, 18, 0, 0, 36, 24, 24, 256, 12, 8, 32, 58, 32, 16...
Hint: zigzag (Press Ctrl+A)
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gameoflifemaniac
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Re: Guess the sequence [GAME]

Post by gameoflifemaniac »

i have no idea what all of those sequences are.
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

b4o25bo$o29bo$b3o3b3o2bob2o2bob2o2bo3bobo$4bobo3bob2o2bob2o2bobo3bobo$
4bobo3bobo5bo5bo3bobo$o3bobo3bobo5bo6b4o$b3o3b3o2bo5bo9bobo$24b4o!
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Moosey
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Re: Guess the sequence [GAME]

Post by Moosey »

Code: Select all

0,2,8,402653184*(2^402653184),...
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
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toroidalet
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Re: Guess the sequence [GAME]

Post by toroidalet »

ColorfulGalaxy wrote: July 22nd, 2020, 6:59 amHere's another sequence:

Code: Select all

0, 0, 0, 4, 6, 8, 0, 0, 0, 0, 6, 12, 18, 0, 0, 36, 24, 24, 256, 12, 8, 32, 58, 32, 16...
Hint: zigzag (Press Ctrl+A)
The answer (highlight it): the final repeating population of a 2*(n-2) rectangle in Life (generation 1 of a 2*n zigzag, but I had more difficulty explaining that)
Moosey wrote: July 20th, 2020, 9:46 amIt matches that for the first two entries but no farther
It's sort of hard (read: impossible) to guess a sequence based off of 2 numbers, so I just gave a semi-arbitrary sequence that fits.
Moosey wrote: July 22nd, 2020, 12:39 pm

Code: Select all

0,2,8,402653184*(2^402653184),...
This is 0*2^0, 1*2^1, 2*2^2, 402653184*2^402653184, so we can look at the exponents and get a simpler sequence. However, we still need to figure out where 402653184=3*2^27 comes from.
gameoflifemaniac wrote: July 22nd, 2020, 11:42 am i have no idea what all of those sequences are.
That's the point, isn't it?
Any sufficiently advanced software is indistinguishable from malice.
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Moosey
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Re: Guess the sequence [GAME]

Post by Moosey »

toroidalet wrote: July 22nd, 2020, 4:06 pm
Moosey wrote: July 20th, 2020, 9:46 amIt matches that for the first two entries but no farther
It's sort of hard (read: impossible) to guess a sequence based off of 2 numbers, so I just gave a semi-arbitrary sequence that fits.
fair
perhaps more helpful would be for me to say that I cannot write the third number.
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
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toroidalet
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Re: Guess the sequence [GAME]

Post by toroidalet »

Alright, my next guess is TREE(n).
TREE(1)=1, TREE(2)=3, and there is no way to write TREE(3) without giving the answer away or collapsing into a black hole.
Any sufficiently advanced software is indistinguishable from malice.
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Moosey
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Re: Guess the sequence [GAME]

Post by Moosey »

toroidalet wrote: July 22nd, 2020, 10:56 pm Alright, my next guess is TREE(n).
TREE(1)=1, TREE(2)=3, and there is no way to write TREE(3) without giving the answer away or collapsing into a black hole.
right
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
PkmnQ
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Re: Guess the sequence [GAME]

Post by PkmnQ »

Is TREE(3) even or odd?
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Moosey
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Re: Guess the sequence [GAME]

Post by Moosey »

PkmnQ wrote: July 23rd, 2020, 11:14 am Is TREE(3) even or odd?
idk, and a proof would be difficult
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
Silkmoth
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Re: Guess the sequence [GAME]

Post by Silkmoth »

Code: Select all

 1 2 11 3 12 4 111 22 13 5 112 6 14 23 1111 7


Hint:

Code: Select all

















the first symbol represents 2.
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toroidalet
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Re: Guess the sequence [GAME]

Post by toroidalet »

If we write out the prime factorization of n as p_1^a*p_2^b*......., element n-1 (since 1 doesn't have any prime factors) is 1^a2^b.... (treating numbers as strings rather than numbers).
Any sufficiently advanced software is indistinguishable from malice.
Silkmoth
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Re: Guess the sequence [GAME]

Post by Silkmoth »

toroidalet wrote: July 24th, 2020, 10:05 pm If we write out the prime factorization of n as p_1^a*p_2^b*......., element n-1 (since 1 doesn't have any prime factors) is 1^a2^b.... (treating numbers as strings rather than numbers).
damn, got it in one!
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EvinZL
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Re: Guess the sequence [GAME]

Post by EvinZL »

Code: Select all

3,10,3,2,18,2,4,2,10,14,...
Hint: y^2=x^3-nx+1
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