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%I #4 Feb 15 2018 14:40:18
%S 16,512,14981,448993,13431706,401989538,12030404350,360039414559,
%T 10775053220325,322469677661562,9650689326119101,288820348973371780,
%U 8643651362044420950,258682288630479728048,7741696610337244038767
%N Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
%C Column 5 of A299654.
%H R. H. Hardin, <a href="/A299651/b299651.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 25*a(n-1) +125*a(n-2) +679*a(n-3) +248*a(n-4) -12105*a(n-5) -34335*a(n-6) -131485*a(n-7) +98396*a(n-8) +444773*a(n-9) +1528691*a(n-10) +120695*a(n-11) -1628382*a(n-12) -7147705*a(n-13) -5406767*a(n-14) -1469117*a(n-15) +21686910*a(n-16) +26174174*a(n-17) +12379712*a(n-18) -42253252*a(n-19) -49440333*a(n-20) -12271694*a(n-21) +46804842*a(n-22) +37422506*a(n-23) -492636*a(n-24) -22290578*a(n-25) -11763494*a(n-26) +2197936*a(n-27) +4276248*a(n-28) +1359552*a(n-29) -435456*a(n-30) -235008*a(n-31)
%e Some solutions for n=5
%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0
%e ..0..0..1..0..1. .0..0..0..1..1. .0..0..0..1..1. .0..0..1..0..0
%e ..1..0..1..0..1. .0..1..1..0..1. .1..1..0..0..0. .0..0..1..1..1
%e ..1..0..0..0..1. .1..1..1..0..0. .1..0..1..0..0. .0..0..0..0..1
%e ..0..0..1..0..0. .1..0..0..0..0. .1..0..1..1..1. .0..1..1..1..1
%Y Cf. A299654.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 15 2018