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A302967 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A302967 #4 Apr 16 2018 11:56:50
%S A302967 8,128,833,6206,43588,314989,2257439,16185343,116204095,833483135,
%T A302967 5980966891,42913914839,307909560484,2209334749489,15852297971877,
%U A302967 113743491247020,816131893706879,5855905976037061,42017301642505309
%N A302967 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A302967 Row 4 of A302965.
%H A302967 R. H. Hardin, <a href="/A302967/b302967.txt">Table of n, a(n) for n = 1..210</a>
%F A302967 Empirical: a(n) = 5*a(n-1) +39*a(n-2) -87*a(n-3) -746*a(n-4) +399*a(n-5) +6441*a(n-6) -1542*a(n-7) -31979*a(n-8) +15388*a(n-9) +102271*a(n-10) -99205*a(n-11) -189571*a(n-12) +378314*a(n-13) +95629*a(n-14) -922139*a(n-15) +432966*a(n-16) +1513625*a(n-17) -1169356*a(n-18) -1784530*a(n-19) +1289751*a(n-20) +1680189*a(n-21) -440536*a(n-22) -1343524*a(n-23) -620710*a(n-24) +733726*a(n-25) +1051878*a(n-26) -28193*a(n-27) -795545*a(n-28) -340122*a(n-29) +289414*a(n-30) +324203*a(n-31) +22695*a(n-32) -165451*a(n-33) -67937*a(n-34) +36248*a(n-35) +31158*a(n-36) +3843*a(n-37) -5639*a(n-38) -2823*a(n-39) -518*a(n-40) +244*a(n-41) +316*a(n-42) +16*a(n-43) -28*a(n-44) for n>45
%e A302967 Some solutions for n=5
%e A302967 ..0..0..1..1..0. .0..1..0..1..1. .0..0..1..0..1. .0..0..1..1..0
%e A302967 ..0..1..1..0..1. .1..0..1..1..0. .0..1..0..1..0. .1..1..0..1..0
%e A302967 ..0..0..1..0..0. .0..0..1..0..0. .0..0..0..1..1. .0..1..0..1..1
%e A302967 ..0..0..1..1..0. .0..0..1..1..1. .0..1..0..1..1. .0..0..1..1..0
%Y A302967 Cf. A302965.
%K A302967 nonn
%O A302967 1,1
%A A302967 _R. H. Hardin_, Apr 16 2018