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Author Topic: Numerical Zendo  (Read 6355 times)

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sudgy

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Numerical Zendo
« on: November 29, 2013, 01:18:02 am »
Inspired by this post, here is a game.  I write a sequence of numbers, and others have to try to guess what the sequence is.  Guesses are made by adding more to the sequence (in spoilers).  The winner will make the new sequence.

1, 0, 1, 0, 1, 2, 0, 1, 2, 4, 0, 1, 2, 4, 8, 16, 0, 1, 2, 4, 8, 16, 32, 64, 128, 0, 1, 2, 4,...
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   Quote from: sudgy on June 31, 2011, 11:47:46 pm

ghostofmars

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Re: Numerical Zendo
« Reply #1 on: November 29, 2013, 02:22:54 am »
8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 0, 1, ...
If that is correct, than the rule is
0,2^0,2^1,...,2^n-1, where n are Fibonacci numbers
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Tables

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Re: Numerical Zendo
« Reply #2 on: November 29, 2013, 08:11:44 am »
I agree that's the rule, but I believe your sequence should actually continue:
8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 0, 1, ...

Also I'm not really sure this is quite the same as Zendo. There's no information prodding, which is kind of a big part of Zendo
« Last Edit: November 29, 2013, 08:12:47 am by Tables »
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Quote from: Witherweaver on October 29, 2014, 03:10:13 pm
Quote from: Donald X. on October 28, 2014, 04:29:33 pm
...spin-offs are still better for all of the previously cited reasons.
But not strictly better, because the spinoff can have a different cost than the expansion.

sudgy

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Re: Numerical Zendo
« Reply #3 on: November 29, 2013, 12:38:41 pm »
Well, I didn't know how to play Zendo.  I just got the idea.  Maybe I should change the title.
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   Quote from: sudgy on June 31, 2011, 11:47:46 pm

sudgy

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Re: Numerical Zendo
« Reply #4 on: November 29, 2013, 12:39:44 pm »
And, Tables got it right (sorry ghostofmars, you made a mistake!).
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   Quote from: sudgy on June 31, 2011, 11:47:46 pm

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Re: Numerical Zendo
« Reply #5 on: November 29, 2013, 04:14:15 pm »
Sure. Well, let's see what can be done that's interesting... hmm...

1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, ...
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Quote from: Witherweaver on October 29, 2014, 03:10:13 pm
Quote from: Donald X. on October 28, 2014, 04:29:33 pm
...spin-offs are still better for all of the previously cited reasons.
But not strictly better, because the spinoff can have a different cost than the expansion.

WalrusMcFishSr

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Re: Numerical Zendo
« Reply #6 on: November 29, 2013, 04:19:55 pm »
Ooh ooh I know this one it's the look and say sequence

...31131211131221, 13211311123113112211,...
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Re: Numerical Zendo
« Reply #7 on: November 29, 2013, 04:23:21 pm »
Yep, that's right. A really simple one once you know how it's constructed, but pretty tough to pick out if you don't.

You construct each term by reading the previous term from left to right, counting how many times a given number appears in a row. So e.g. 1211 is "one one, one two, two one(s)" and so the next term is 111221
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Quote from: Witherweaver on October 29, 2014, 03:10:13 pm
Quote from: Donald X. on October 28, 2014, 04:29:33 pm
...spin-offs are still better for all of the previously cited reasons.
But not strictly better, because the spinoff can have a different cost than the expansion.

WalrusMcFishSr

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Re: Numerical Zendo
« Reply #8 on: November 29, 2013, 04:26:04 pm »
Ok let's go a bit more classic:

I have a rule
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Re: Numerical Zendo
« Reply #9 on: November 29, 2013, 04:33:51 pm »
...

I'm, uh, glad to hear it?
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Quote from: Witherweaver on October 29, 2014, 03:10:13 pm
Quote from: Donald X. on October 28, 2014, 04:29:33 pm
...spin-offs are still better for all of the previously cited reasons.
But not strictly better, because the spinoff can have a different cost than the expansion.

WalrusMcFishSr

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Re: Numerical Zendo
« Reply #10 on: November 29, 2013, 04:36:03 pm »
Lol fine. Give me a minute and I'll post a damn sequence
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Re: Numerical Zendo
« Reply #11 on: November 29, 2013, 04:39:48 pm »
Quote from: WalrusMcFishSr on November 29, 2013, 04:36:03 pm
Lol fine. Give me a minute and I'll post a damn sequence

It's meant to be a numerical sequence...
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Quote from: Witherweaver on October 29, 2014, 03:10:13 pm
Quote from: Donald X. on October 28, 2014, 04:29:33 pm
...spin-offs are still better for all of the previously cited reasons.
But not strictly better, because the spinoff can have a different cost than the expansion.

WalrusMcFishSr

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Re: Numerical Zendo
« Reply #12 on: November 29, 2013, 04:41:16 pm »
6,6,6  :P
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sudgy

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Re: Numerical Zendo
« Reply #13 on: November 29, 2013, 04:42:12 pm »
...6,6,6,6,6,...?
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   Quote from: sudgy on June 31, 2011, 11:47:46 pm

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Re: Numerical Zendo
« Reply #14 on: November 29, 2013, 04:43:58 pm »
...12, 30, 66, 126, 216. Sequence is x3-6x2+11x
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Quote from: Witherweaver on October 29, 2014, 03:10:13 pm
Quote from: Donald X. on October 28, 2014, 04:29:33 pm
...spin-offs are still better for all of the previously cited reasons.
But not strictly better, because the spinoff can have a different cost than the expansion.

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Re: Numerical Zendo
« Reply #15 on: November 29, 2013, 04:45:42 pm »
5, 13, 17, 25, 29, 37, 41, 53, 61, 65...

Too easy?
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Re: Numerical Zendo
« Reply #16 on: November 29, 2013, 04:47:36 pm »
Quote from: WalrusMcFishSr on November 29, 2013, 04:45:42 pm
5, 13, 17, 25, 29, 37, 41, 53, 61, 65...

Too easy?

Yep.

73, 77, 85, 89, 97, 101, 109, 113,...  add 4, add 8, add 4, add 8...
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   Quote from: sudgy on June 31, 2011, 11:47:46 pm

ghostofmars

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Re: Numerical Zendo
« Reply #17 on: November 29, 2013, 04:48:34 pm »
There is a number missing?
..., 41, 49, 53, ...
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Re: Numerical Zendo
« Reply #18 on: November 29, 2013, 04:50:07 pm »
0, 1, 2, 2, 3, 5, 7, 10, 15, 22, 32, 47,...
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   Quote from: sudgy on June 31, 2011, 11:47:46 pm

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Re: Numerical Zendo
« Reply #19 on: November 29, 2013, 04:51:19 pm »
Incorrect. 49 should not be included.

Not that easy!
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Re: Numerical Zendo
« Reply #20 on: November 29, 2013, 04:51:44 pm »
69, 101, 148, ...
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Re: Numerical Zendo
« Reply #21 on: November 29, 2013, 04:52:42 pm »
a_n = a_n-1 + a_n-3
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Re: Numerical Zendo
« Reply #22 on: November 29, 2013, 04:56:14 pm »
Quote from: WalrusMcFishSr on November 29, 2013, 04:45:42 pm
5, 13, 17, 25, 29, 37, 41, 53, 61, 65, 73, 85, 89, 97, 101, 109, 113, 125, 137, 145...

Too easy?

Added a few more terms
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Re: Numerical Zendo
« Reply #23 on: November 29, 2013, 04:59:59 pm »
Quote from: ghostofmars on November 29, 2013, 04:51:44 pm
69, 101, 148, ...

You're right, but Walrus' isn't done yet...
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   Quote from: sudgy on June 31, 2011, 11:47:46 pm

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Re: Numerical Zendo
« Reply #24 on: November 29, 2013, 08:42:18 pm »
Quote from: WalrusMcFishSr on November 29, 2013, 04:45:42 pm
5, 13, 17, 25, 29, 37, 41, 53, 61, 65, 73, 85, 89, 97, 101, 109, 113, 125, 137, 145...

Too easy?
Could you check the numbers again. I thought of two very similar rows

your: 5, 13, 17, 25, 29, 37, 41,     53, 61, 65, 73,     85, 89, 97, 101, 109, 113,      125,      137, 145, ...
1st:  5, 13, 17, 25, 29, 37,     49, 53,     65, 73, 77, 85,     97,      109, 113,      125, 133, 137,      149, ...
2nd:  5, 13, 17, 25,     37, 41,     53, 61, 65, 73,     85,     97, 101,      113, 121, 125,      137, 145, ...

Perhaps the idea helps someone else
1st: 2*prime number - 9 (starting from 7)
2nd: 2*prime number - 21 (starting from 13)
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