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A268993 Number of nX6 binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once. 1

%I #4 Feb 17 2016 07:24:59

%S 41,763,14080,244397,4097199,66954420,1073436321,16957258387,

%T 264744926212,4093941136805,62806688095479,957111538353668,

%U 14502245681077257,218656000387543867,3282569954305098964

%N Number of nX6 binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.

%C Column 6 of A268995.

%H R. H. Hardin, <a href="/A268993/b268993.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 42*a(n-1) -665*a(n-2) +5138*a(n-3) -21972*a(n-4) +55274*a(n-5) -83769*a(n-6) +76202*a(n-7) -40273*a(n-8) +11304*a(n-9) -1296*a(n-10) for n>12

%e Some solutions for n=3

%e ..0..1..0..0..0..1. .1..0..1..0..0..1. .0..0..0..0..0..0. .0..0..1..0..1..0

%e ..0..1..0..0..0..0. .1..0..0..0..0..1. .1..0..0..0..0..0. .1..0..0..0..1..1

%e ..1..0..0..0..1..0. .0..1..1..0..0..1. .1..0..0..0..1..0. .0..0..0..0..0..0

%Y Cf. A268995.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 17 2016

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)