A269072 - OEIS

%I #4 Feb 19 2016 08:42:02

%S 23,185,1887,17713,165607,1529241,14011359,127528641,1154377943,

%T 10400164377,93314875007,834244316721,7434343205095,66061046189497,

%U 585498663953471,5177144091416833,45680435610848791,402277442193052665

%N Number of nX5 binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.

%C Column 5 of A269075.

%H R. H. Hardin, <a href="/A269072/b269072.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) -198*a(n-2) +584*a(n-3) +137*a(n-4) -2864*a(n-5) +1132*a(n-6) +4336*a(n-7) -1391*a(n-8) -2280*a(n-9) +90*a(n-10) +200*a(n-11) -25*a(n-12)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A269075.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 19 2016