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%I #4 May 24 2018 08:43:21
%S 64,21,37,143,319,1359,7757,28535,104561,483316,2036051,7957330,
%T 33390346,141492687,577385102,2377565472,9936658069,41121426348,
%U 169582044493,703568436794,2917409515913,12064744257738,49955479170946
%N Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 6 or 7 king-move adjacent elements, with upper left element zero.
%C Column 7 of A305040.
%H R. H. Hardin, <a href="/A305039/b305039.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +4*a(n-2) +46*a(n-3) +28*a(n-4) -96*a(n-5) -703*a(n-6) -483*a(n-7) +852*a(n-8) +4784*a(n-9) +2587*a(n-10) -3085*a(n-11) -19285*a(n-12) -7219*a(n-13) +5901*a(n-14) +53806*a(n-15) +16012*a(n-16) -4964*a(n-17) -104877*a(n-18) -36795*a(n-19) -1797*a(n-20) +140326*a(n-21) +72893*a(n-22) +8231*a(n-23) -126381*a(n-24) -103809*a(n-25) -8684*a(n-26) +74359*a(n-27) +101294*a(n-28) +5366*a(n-29) -26476*a(n-30) -68004*a(n-31) -2226*a(n-32) +4153*a(n-33) +31732*a(n-34) +669*a(n-35) +677*a(n-36) -10272*a(n-37) -144*a(n-38) -474*a(n-39) +2234*a(n-40) +17*a(n-41) +97*a(n-42) -300*a(n-43) -2*a(n-44) -8*a(n-45) +20*a(n-46) for n>51
%e Some solutions for n=5
%e ..0..1..1..1..1..1..1. .0..0..0..0..0..0..1. .0..0..0..0..0..0..1
%e ..1..0..1..1..1..1..1. .0..0..0..0..0..1..0. .0..1..0..0..0..1..0
%e ..1..1..1..1..0..1..1. .0..0..0..0..0..0..0. .0..1..0..0..1..0..0
%e ..1..1..1..1..1..0..1. .0..1..1..0..0..0..0. .0..0..0..0..0..0..0
%e ..1..1..1..1..1..1..0. .0..0..0..0..0..0..0. .0..0..0..0..0..0..0
%Y Cf. A305040.
%K nonn
%O 1,1
%A _R. H. Hardin_, May 24 2018
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