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A303465 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A303465 #4 Apr 24 2018 10:40:29
%S A303465 8,105,948,9110,89371,872026,8511918,83188773,812770434,7941139206,
%T A303465 77594942021,758189368200,7408382994582,72388855049517,
%U A303465 707326301400014,6911432717332626,67533080382574931,659880121609889226
%N A303465 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A303465 Column 4 of A303469.
%H A303465 R. H. Hardin, <a href="/A303465/b303465.txt">Table of n, a(n) for n = 1..210</a>
%F A303465 Empirical: a(n) = 12*a(n-1) -15*a(n-2) +6*a(n-3) -854*a(n-4) +1079*a(n-5) +2906*a(n-6) +9224*a(n-7) -20608*a(n-8) -22133*a(n-9) -8708*a(n-10) +56172*a(n-11) -22130*a(n-12) -37398*a(n-13) +204184*a(n-14) -19940*a(n-15) +45128*a(n-16) -220512*a(n-17) +7920*a(n-18) -23328*a(n-19) +46656*a(n-20) for n>21
%e A303465 Some solutions for n=5
%e A303465 ..0..0..0..1. .0..0..0..1. .0..1..0..0. .0..1..0..0. .0..0..1..1
%e A303465 ..1..1..0..0. .0..1..1..1. .1..1..1..0. .0..0..1..0. .1..1..0..1
%e A303465 ..0..1..0..1. .0..1..0..1. .0..0..1..0. .1..0..1..1. .1..1..0..0
%e A303465 ..1..0..0..0. .0..1..0..1. .0..1..0..1. .0..0..1..0. .0..1..0..1
%e A303465 ..0..1..0..1. .1..0..1..1. .0..1..0..1. .0..0..1..0. .1..0..0..1
%Y A303465 Cf. A303469.
%K A303465 nonn
%O A303465 1,1
%A A303465 _R. H. Hardin_, Apr 24 2018