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%I #4 May 26 2018 18:37:20
%S 3,8,14,13,64,137,140,668,1652,2361,6578,18378,34712,74220,198302,
%T 443314,914478,2205546,5256982,11329144,25638940,60932298,137160172,
%U 305545804,709266522,1629634600,3657579692,8345325220,19216257540,43592320618
%N Number of nX5 0..1 arrays with every element unequal to 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
%C Column 5 of A305182.
%H R. H. Hardin, <a href="/A305179/b305179.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-2) +17*a(n-3) +9*a(n-4) -31*a(n-5) -131*a(n-6) -91*a(n-7) +206*a(n-8) +575*a(n-9) +361*a(n-10) -762*a(n-11) -1527*a(n-12) -664*a(n-13) +1679*a(n-14) +2438*a(n-15) +360*a(n-16) -2241*a(n-17) -1976*a(n-18) +713*a(n-19) +1609*a(n-20) -67*a(n-21) -1372*a(n-22) -101*a(n-23) +1502*a(n-24) +741*a(n-25) -640*a(n-26) -994*a(n-27) +152*a(n-28) +351*a(n-29) +44*a(n-30) -386*a(n-31) -78*a(n-32) +338*a(n-33) +196*a(n-34) -6*a(n-35) -204*a(n-36) -74*a(n-37) +20*a(n-38) +52*a(n-39) +18*a(n-40) -4*a(n-41) -16*a(n-42) +4*a(n-43) for n>50
%e Some solutions for n=5
%e ..0..1..0..1..0. .0..1..1..1..1. .0..1..1..0..1. .0..1..0..1..0
%e ..0..0..0..0..0. .1..0..1..1..0. .1..0..1..1..1. .0..0..0..0..0
%e ..0..0..0..0..0. .1..1..1..1..1. .1..1..1..1..1. .0..0..0..0..0
%e ..0..1..1..0..1. .1..1..1..1..0. .1..1..1..0..1. .0..1..0..1..0
%e ..0..0..0..0..0. .1..0..1..1..1. .1..0..1..1..0. .1..0..0..0..1
%Y Cf. A305182.
%K nonn
%O 1,1
%A _R. H. Hardin_, May 26 2018
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