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%I #4 Nov 27 2017 07:11:23
%S 8,49,198,1059,5263,25529,127731,630988,3118368,15452696,76444609,
%T 378316752,1872559828,9266918261,45863407707,226985095214,
%U 1123365612319,5559672436516,27515436853783,136176807358073,673954171761877
%N Number of nX4 0..1 arrays with each 1 adjacent to 0 or 2 king-move neighboring 1s.
%C Column 4 of A295781.
%H R. H. Hardin, <a href="/A295777/b295777.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +6*a(n-2) +6*a(n-3) -58*a(n-4) -20*a(n-5) +29*a(n-6) -92*a(n-7) +7*a(n-8) +2*a(n-9) -2*a(n-10)
%e Some solutions for n=7
%e ..0..0..0..0. .0..0..0..1. .0..0..1..1. .0..0..1..0. .0..0..0..1
%e ..0..1..0..0. .0..0..0..0. .1..0..1..0. .1..0..0..0. .1..1..0..0
%e ..1..1..0..0. .1..0..0..0. .0..0..0..0. .0..0..1..0. .0..1..0..1
%e ..0..0..0..0. .0..0..0..1. .0..0..0..1. .0..1..1..0. .0..0..0..0
%e ..0..0..0..1. .0..1..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..0
%e ..1..1..0..0. .0..0..0..0. .1..1..0..1. .0..1..0..0. .0..0..0..0
%e ..1..0..0..0. .1..0..0..0. .0..1..0..0. .1..1..0..1. .1..0..1..0
%Y Cf. A295781.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 27 2017