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%I #4 Dec 06 2017 08:34:58
%S 1,7,16,32,91,237,585,1513,3908,10086,26367,68437,178447,471619,
%T 1236166,3249228,8644925,22840435,60474807,161669767,429688556,
%U 1144258358,3069721963,8195327679,21917660229,58944562187,157891940442,423580112950
%N Number of nX4 0..1 arrays with each 1 adjacent to 3 or 5 king-move neighboring 1s.
%C Column 4 of A296157.
%H R. H. Hardin, <a href="/A296153/b296153.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +37*a(n-3) -100*a(n-4) +66*a(n-5) -541*a(n-6) +1232*a(n-7) -752*a(n-8) +4176*a(n-9) -7744*a(n-10) +4201*a(n-11) -18513*a(n-12) +27981*a(n-13) -12579*a(n-14) +48111*a(n-15) -60687*a(n-16) +19682*a(n-17) -72738*a(n-18) +78454*a(n-19) -13237*a(n-20) +64383*a(n-21) -58722*a(n-22) -2554*a(n-23) -36126*a(n-24) +24212*a(n-25) +9618*a(n-26) +16584*a(n-27) -2981*a(n-28) -7300*a(n-29) -6764*a(n-30) -3153*a(n-31) +3574*a(n-32) +1888*a(n-33) +2351*a(n-34) -1164*a(n-35) -309*a(n-36) -735*a(n-37) +214*a(n-38) +41*a(n-39) +119*a(n-40) -19*a(n-41) -4*a(n-42) -10*a(n-43)
%e Some solutions for n=7
%e ..0..0..0..0. .0..0..0..0. .0..1..0..0. .1..1..1..1. .0..0..1..1
%e ..0..0..1..0. .1..1..1..0. .1..1..1..0. .1..1..1..1. .0..0..1..1
%e ..0..1..1..1. .1..1..1..0. .0..1..1..1. .0..0..0..0. .0..0..1..1
%e ..0..1..0..1. .0..0..0..0. .0..0..1..0. .0..0..0..0. .0..0..1..1
%e ..0..1..0..1. .0..0..0..0. .0..0..0..0. .0..1..1..1. .0..0..1..1
%e ..0..1..1..1. .0..1..1..1. .1..1..1..0. .0..1..1..1. .0..0..1..1
%e ..0..0..1..0. .0..1..1..1. .1..1..1..0. .0..0..0..0. .0..0..1..1
%Y Cf. A296157.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 06 2017
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