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interests / rec.puzzles / Re: Permutations of (1, 2, ..., N) s.t. No adjacent Numbers are ...

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* Permutations of (1, 2, ..., N) s.t. No adjacent Numbers are ...henh...@gmail.com
`* Re: Permutations of (1, 2, ..., N) s.t. No adjacent Numbers are ...Ilan Mayer
 `- Re: Permutations of (1, 2, ..., N) s.t. No adjacent Numbers are ...henh...@gmail.com

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Permutations of (1, 2, ..., N) s.t. No adjacent Numbers are ...

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Subject: Permutations of (1, 2, ..., N) s.t. No adjacent Numbers are ...
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 by: henh...@gmail.com - Sun, 6 Nov 2022 01:58 UTC

i wonder if there's any chance that oeis doesn't mention this.

1 --> 0
2 --> 0
3 --> 0
4 --> 8 ? (probably more)

N --> f(N)

the Number of Permutations of (1, 2, ..., N)
in which No adjacent Numbers are diff. by 1.

A good Jumble-generator prob. does this... (== separate original neighbors).

Re: Permutations of (1, 2, ..., N) s.t. No adjacent Numbers are ...

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Subject: Re: Permutations of (1, 2, ..., N) s.t. No adjacent Numbers are ...
From: ilan_no_...@hotmail.com (Ilan Mayer)
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 by: Ilan Mayer - Sun, 6 Nov 2022 15:38 UTC

On Saturday, November 5, 2022 at 9:58:21 PM UTC-4, henh...@gmail.com wrote:
> i wonder if there's any chance that oeis doesn't mention this.
>
> 1 --> 0
> 2 --> 0
> 3 --> 0
> 4 --> 8 ? (probably more)
>
> N --> f(N)
>
> the Number of Permutations of (1, 2, ..., N)
> in which No adjacent Numbers are diff. by 1.
>
>
>
> A good Jumble-generator prob. does this... (== separate original neighbors).

https://oeis.org/A002464

Re: Permutations of (1, 2, ..., N) s.t. No adjacent Numbers are ...

<1638549d-6f92-4d1c-b541-31182ef56588n@googlegroups.com>

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Subject: Re: Permutations of (1, 2, ..., N) s.t. No adjacent Numbers are ...
From: henha...@gmail.com (henh...@gmail.com)
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 by: henh...@gmail.com - Sun, 6 Nov 2022 19:06 UTC

On Sunday, November 6, 2022 at 7:38:09 AM UTC-8, Ilan Mayer wrote:
> On Saturday, November 5, 2022 at 9:58:21 PM UTC-4, henh...@gmail.com wrote:
> > i wonder if there's any chance that oeis doesn't mention this.
> >
> > 1 --> 0
> > 2 --> 0
> > 3 --> 0
> > 4 --> 8 ? (probably more)
> >
> > N --> f(N)
> >
> > the Number of Permutations of (1, 2, ..., N)
> > in which No adjacent Numbers are diff. by 1.
> >
> >
> >
> > A good Jumble-generator prob. does this... (== separate original neighbors).

> https://oeis.org/A002464

thansk!

Hertzsprung's problem: ways to arrange n non-attacking kings on an n X n board, with 1 in each row and column. Also number of permutations of length n without rising or falling successions.
(Formerly M2070 N0818)
1, 1, 0, 0, 2, 14, 90, 646, 5242, 47622, 479306, 5296790, 63779034, 831283558, 11661506218,

How did they get 2 ?

2413, (and its reverse) ------- omg.. that is 2

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