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%I #4 Jul 17 2018 12:22:43
%S 3,383,9417,287292,8641499,259163370,7779344498,233495963949,
%T 7008276669223,210351107042527,6313616191484818,189501015160054908,
%U 5687807789901679332,170717594048462858014,5124029853547237364555
%N Number of nX5 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
%C Column 5 of A316953.
%H R. H. Hardin, <a href="/A316950/b316950.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 21*a(n-1) +205*a(n-2) +1729*a(n-3) +6482*a(n-4) +20422*a(n-5) +15722*a(n-6) -68945*a(n-7) -274873*a(n-8) -285347*a(n-9) +262561*a(n-10) +667642*a(n-11) +350411*a(n-12) -1662532*a(n-13) +544892*a(n-14) -570000*a(n-15) +47220*a(n-16) +425272*a(n-17) -1298986*a(n-18) +2146810*a(n-19) -426071*a(n-20) +537568*a(n-21) -381944*a(n-22) -620494*a(n-23) +372655*a(n-24) -275195*a(n-25) +309994*a(n-26) -107697*a(n-27) +64413*a(n-28) -38742*a(n-29) +936*a(n-30) -1920*a(n-31) -816*a(n-32) +288*a(n-33)
%e Some solutions for n=5
%e ..0..0..0..1..0. .0..0..0..1..0. .0..0..0..1..0. .0..0..0..1..0
%e ..0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0. .0..1..0..0..0
%e ..0..0..1..1..0. .0..0..1..1..1. .0..0..1..0..0. .0..0..1..1..0
%e ..0..0..1..0..0. .1..1..0..0..1. .1..1..0..1..0. .0..0..1..1..0
%e ..0..1..0..1..1. .0..1..1..1..1. .1..0..0..1..0. .1..0..0..1..1
%Y Cf. A316953.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 17 2018
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