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A269014 Number of 4 X n binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once. 1

%I

%S 0,48,224,2136,10976,73568,390064,2291728,12190944,67387784,356115520,

%T 1906181472,9983123936,52432319344,272227610848,1412208727736,

%U 7276913394080,37421599567712,191604936958480,978880041945808

%N Number of 4 X n binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

%H R. H. Hardin, <a href="/A269014/b269014.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) + 28*a(n-2) - 78*a(n-3) - 264*a(n-4) + 296*a(n-5) + 527*a(n-6) - 252*a(n-7) - 324*a(n-8).

%F Empirical g.f.: 8*x^2*(6 + 4*x - 13*x^2 - 12*x^3) / (1 - 2*x - 16*x^2 + 7*x^3 + 18*x^4)^2. - _Colin Barker_, Jan 18 2019

%e Some solutions for n=4:

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

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

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

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

%Y Row 4 of A269011.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 17 2016

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Last modified October 15 17:58 EDT 2021. Contains 348033 sequences. (Running on oeis4.)