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%I #6 Jun 22 2022 12:01:09
%S 2,64,876,10692,136106,1736688,22129704,281996650,3593547434,
%T 45793495306,583557765480,7436419337146,94764114200356,
%U 1207602336265708,15388772567116042,196102900773830988,2498987331532782804
%N Number of n X 4 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.
%C Column 4 of A299373.
%H R. H. Hardin, <a href="/A299369/b299369.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 14*a(n-1) -11*a(n-2) -60*a(n-3) -45*a(n-4) -86*a(n-5) +217*a(n-6) +1113*a(n-7) +2167*a(n-8) -7569*a(n-9) +495*a(n-10) +7012*a(n-11) +2755*a(n-12) -16094*a(n-13) -918*a(n-14) +21559*a(n-15) +1334*a(n-16) -12014*a(n-17) -10046*a(n-18) +6016*a(n-19) +7512*a(n-20) +2397*a(n-21) -1838*a(n-22) -2359*a(n-23) -1700*a(n-24) -102*a(n-25) +36*a(n-26) -87*a(n-27) +44*a(n-28) +130*a(n-29) +67*a(n-30) +14*a(n-31) for n>32.
%e Some solutions for n=5
%e ..0..1..0..0. .0..0..0..0. .0..0..0..1. .0..0..0..1. .0..0..0..0
%e ..1..0..0..0. .1..1..1..1. .0..0..0..1. .0..0..0..1. .0..0..0..0
%e ..0..1..1..1. .1..1..1..1. .0..0..0..1. .0..0..0..1. .0..0..0..0
%e ..0..1..1..1. .1..1..1..1. .1..1..1..0. .1..1..1..0. .1..1..1..1
%e ..0..1..1..1. .0..0..0..0. .1..0..0..0. .1..1..1..1. .1..0..0..1
%Y Cf. A299373.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 08 2018
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