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A303626 Number of 4Xn 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A303626 #4 Apr 27 2018 09:57:10
%S A303626 8,3,148,325,3591,19467,160807,1173612,9421103,75073653,610163560,
%T A303626 4982200456,40884018586,336380001790,2772144413449,22869613342371,
%U A303626 188783964530800,1558985724471489,12877140629903061,106380021298938000
%N A303626 Number of 4Xn 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A303626 Row 4 of A303624.
%H A303626 R. H. Hardin, <a href="/A303626/b303626.txt">Table of n, a(n) for n = 1..210</a>
%F A303626 Empirical: a(n) = 16*a(n-1) -39*a(n-2) -486*a(n-3) +2076*a(n-4) +6509*a(n-5) -36557*a(n-6) -51456*a(n-7) +351943*a(n-8) +315012*a(n-9) -2226007*a(n-10) -1747803*a(n-11) +10471115*a(n-12) +7461453*a(n-13) -38373678*a(n-14) -20050380*a(n-15) +107152786*a(n-16) +28648842*a(n-17) -222622519*a(n-18) -3530085*a(n-19) +339517313*a(n-20) -76201625*a(n-21) -361639017*a(n-22) +183843854*a(n-23) +214443094*a(n-24) -255187688*a(n-25) +57118500*a(n-26) +258024061*a(n-27) -306102478*a(n-28) -223408872*a(n-29) +409718455*a(n-30) +187726094*a(n-31) -344439874*a(n-32) -146637084*a(n-33) +189433554*a(n-34) +89003404*a(n-35) -61685576*a(n-36) -35202400*a(n-37) +8565840*a(n-38) +7517168*a(n-39) +603968*a(n-40) -519744*a(n-41) -231936*a(n-42) -40960*a(n-43) for n>44
%e A303626 Some solutions for n=5
%e A303626 ..0..1..1..1..1. .0..0..0..0..0. .0..0..0..0..0. .0..0..1..0..1
%e A303626 ..0..1..1..1..1. .0..0..0..0..0. .0..0..1..0..1. .0..0..0..0..0
%e A303626 ..0..1..1..1..0. .1..1..1..1..1. .0..0..0..0..1. .0..0..0..1..1
%e A303626 ..1..1..0..1..1. .0..1..1..1..1. .0..0..0..0..1. .1..0..0..1..1
%Y A303626 Cf. A303624.
%K A303626 nonn
%O A303626 1,1
%A A303626 _R. H. Hardin_, Apr 27 2018