A268785 - OEIS

%I #4 Feb 13 2016 12:23:18

%S 5,48,302,1714,9085,46195,228384,1105510,5267662,24786180,115455033,

%T 533317129,2446323573,11154503019,50600348892,228514035985,

%U 1027932765869,4607917805325,20591918472965,91765529043193,407916504889146

%N Number of nX4 binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two exactly once.

%C Column 4 of A268789.

%H R. H. Hardin, <a href="/A268785/b268785.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +19*a(n-2) +10*a(n-3) -122*a(n-4) -320*a(n-5) -295*a(n-6) +8*a(n-7) +176*a(n-8) +20*a(n-9) -98*a(n-10) -6*a(n-11) +43*a(n-12) -6*a(n-13) -11*a(n-14) +6*a(n-15) -a(n-16)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A268789.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 13 2016