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A297854 Number of nX4 0..1 arrays with every element equal to 1, 2 or 4 king-move adjacent elements, with upper left element zero.

%I A297854 #4 Jan 07 2018 10:38:47
%S A297854 2,13,19,30,53,90,145,244,406,771,1396,2472,4358,7688,13953,25626,
%T A297854 46458,83576,150333,271566,494639,900920,1633015,2955455,5353266,
%U A297854 9717165,17670119,32099391,58228907,105619960,191684445,348131289,632389497
%N A297854 Number of nX4 0..1 arrays with every element equal to 1, 2 or 4 king-move adjacent elements, with upper left element zero.
%C A297854 Column 4 of A297858.
%H A297854 R. H. Hardin, <a href="/A297854/b297854.txt">Table of n, a(n) for n = 1..210</a>
%F A297854 Empirical: a(n) = 2*a(n-1) +a(n-2) -a(n-3) -2*a(n-4) +2*a(n-5) +a(n-6) -22*a(n-7) +22*a(n-9) +16*a(n-10) +14*a(n-11) +10*a(n-12) -4*a(n-13) -40*a(n-14) -26*a(n-15) -24*a(n-16) -12*a(n-17) -9*a(n-18) +33*a(n-19) +55*a(n-20) +13*a(n-21) +6*a(n-22) +10*a(n-23) +31*a(n-24) -24*a(n-25) -29*a(n-26) -4*a(n-27) -31*a(n-28) -25*a(n-29) +6*a(n-30) +22*a(n-31) +10*a(n-32) for n>37
%e A297854 Some solutions for n=7
%e A297854 ..0..1..0..0. .0..1..1..0. .0..1..0..0. .0..0..1..1. .0..1..1..1
%e A297854 ..0..1..1..1. .0..1..0..0. .0..0..1..1. .1..0..1..0. .1..0..0..0
%e A297854 ..1..1..0..0. .0..1..1..1. .1..1..0..1. .0..1..0..1. .1..0..0..1
%e A297854 ..0..0..1..1. .1..1..0..0. .0..0..0..0. .1..1..0..0. .0..1..1..1
%e A297854 ..1..0..0..0. .0..0..1..1. .1..0..1..1. .1..1..0..0. .1..1..0..0
%e A297854 ..1..0..1..1. .1..1..1..0. .1..1..0..0. .0..1..0..1. .0..0..1..1
%e A297854 ..1..0..0..1. .0..0..1..0. .0..0..1..0. .0..0..0..1. .0..1..0..1
%Y A297854 Cf. A297858.
%K A297854 nonn
%O A297854 1,1
%A A297854 _R. H. Hardin_, Jan 07 2018