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A298916 Number of nX7 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%I A298916 #4 Jan 29 2018 07:45:11
%S A298916 1,8,8,9,15,24,40,76,141,277,570,1171,2441,5157,10913,23193,49468,
%T A298916 105598,225691,482849,1033370,2212340,4737746,10147163,21735151,
%U A298916 46560372,99744293,213684681,457793103,980778481,2101245689,4501796828,9644879742
%N A298916 Number of nX7 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
%C A298916 Column 7 of A298917.
%H A298916 R. H. Hardin, <a href="/A298916/b298916.txt">Table of n, a(n) for n = 1..210</a>
%F A298916 Empirical: a(n) = 4*a(n-1) -5*a(n-2) +5*a(n-3) -9*a(n-4) +7*a(n-5) -2*a(n-6) -a(n-7) +7*a(n-8) -5*a(n-9) +3*a(n-10) -2*a(n-11) -a(n-12) +a(n-13) -a(n-14) for n>15
%e A298916 Some solutions for n=5
%e A298916 ..0..0..0..0..1..1..1. .0..0..0..0..0..1..1. .0..0..0..0..0..0..0
%e A298916 ..0..0..0..0..1..1..1. .0..0..0..0..0..1..1. .0..0..0..0..0..0..0
%e A298916 ..0..0..0..0..1..1..1. .0..0..0..0..0..1..1. .1..1..1..1..1..1..1
%e A298916 ..0..0..0..0..1..1..1. .0..0..0..0..0..1..1. .1..1..1..1..1..1..1
%e A298916 ..0..0..0..0..1..1..1. .0..0..0..0..0..1..1. .1..1..1..1..1..1..1
%Y A298916 Cf. A298917.
%K A298916 nonn
%O A298916 1,2
%A A298916 _R. H. Hardin_, Jan 29 2018