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A303104 Number of 4Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A303104 #4 Apr 18 2018 12:40:32
%S A303104 0,34,486,4667,58160,709333,8650205,105436196,1286046720,15685227253,
%T A303104 191303245493,2333214940038,28456911783357,347072876019793,
%U A303104 4233051764860040,51628141257110184,629679277168773956
%N A303104 Number of 4Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A303104 Row 4 of A303102.
%H A303104 R. H. Hardin, <a href="/A303104/b303104.txt">Table of n, a(n) for n = 1..210</a>
%F A303104 Empirical: a(n) = 9*a(n-1) +41*a(n-2) -19*a(n-3) +3*a(n-4) -692*a(n-5) -2321*a(n-6) +2649*a(n-7) -1848*a(n-8) -8325*a(n-9) +24753*a(n-10) -18574*a(n-11) -5669*a(n-12) +130211*a(n-13) -63145*a(n-14) -56175*a(n-15) +439103*a(n-16) -1055232*a(n-17) +487761*a(n-18) +905617*a(n-19) -2539340*a(n-20) +3298602*a(n-21) -868897*a(n-22) -2726302*a(n-23) +3256193*a(n-24) -3669871*a(n-25) +652616*a(n-26) +1228590*a(n-27) -2015706*a(n-28) +1416147*a(n-29) -341988*a(n-30) -424681*a(n-31) +406254*a(n-32) -69966*a(n-33) -14182*a(n-34) +10399*a(n-35) -13454*a(n-36) -1436*a(n-37) +4777*a(n-38) +451*a(n-39) -713*a(n-40) -42*a(n-41) +32*a(n-42) for n>43
%e A303104 Some solutions for n=5
%e A303104 ..0..1..1..1..1. .0..0..1..1..0. .0..1..0..1..1. .0..1..0..0..0
%e A303104 ..0..0..1..0..1. .1..0..1..0..0. .1..0..0..1..1. .1..0..0..0..1
%e A303104 ..0..0..0..1..1. .1..1..1..1..1. .0..1..1..0..0. .1..1..1..1..0
%e A303104 ..1..1..0..0..0. .0..0..0..0..1. .1..1..1..1..1. .1..0..0..1..1
%Y A303104 Cf. A303102.
%K A303104 nonn
%O A303104 1,2
%A A303104 _R. H. Hardin_, Apr 18 2018