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A268762 Number of n X 4 binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

%I A268762 #8 Jan 14 2019 09:02:09
%S A268762 5,44,223,1148,5170,23156,99057,418924,1736105,7122856,28898144,
%T A268762 116346184,465034573,1848051516,7306228767,28758043956,112751067666,
%U A268762 440538622908,1715952146561,6665380161836,25826102521633,99840968906384
%N A268762 Number of n X 4 binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two exactly once.
%H A268762 R. H. Hardin, <a href="/A268762/b268762.txt">Table of n, a(n) for n = 1..210</a>
%F A268762 Empirical: a(n) = 4*a(n-1) + 10*a(n-2) - 32*a(n-3) - 47*a(n-4) + 40*a(n-5) + 38*a(n-6) - 12*a(n-7) - 9*a(n-8).
%F A268762 Empirical g.f.: x*(5 + 24*x - 3*x^2 - 24*x^3 - 9*x^4) / (1 - 2*x - 7*x^2 + 2*x^3 + 3*x^4)^2. - _Colin Barker_, Jan 14 2019
%e A268762 Some solutions for n=4:
%e A268762 ..1..0..0..0. .1..0..0..0. .1..0..1..0. .0..0..0..1. .0..0..1..0
%e A268762 ..0..0..0..0. .0..0..1..1. .0..0..0..0. .1..0..0..0. .0..0..0..0
%e A268762 ..1..0..0..0. .0..0..0..0. .0..0..0..1. .0..0..0..1. .0..0..1..1
%e A268762 ..1..0..0..1. .1..0..0..1. .0..0..1..0. .0..0..0..1. .1..0..0..0
%Y A268762 Column 4 of A268766.
%K A268762 nonn
%O A268762 1,1
%A A268762 _R. H. Hardin_, Feb 13 2016