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

%I #4 Apr 12 2018 11:22:39

%S 4,32,228,1637,11814,85268,615589,4444226,32085336,231641898,

%T 1672352613,12073650477,87166448968,629303444781,4543294244531,

%U 32800587324576,236805822155030,1709633941974433,12342805548255732,89109630466361141

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

%C Row 3 of A302741.

%H R. H. Hardin, <a href="/A302742/b302742.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +4*a(n-2) -17*a(n-3) -3*a(n-4) -9*a(n-6) +14*a(n-7) for n>8

%e Some solutions for n=5

%e ..0..0..1..0..1. .0..0..1..1..0. .0..1..0..1..0. .0..1..0..0..1

%e ..1..1..0..1..1. .1..0..0..1..0. .1..0..0..0..1. .0..1..0..1..0

%e ..0..1..1..0..0. .0..1..1..0..1. .1..1..0..0..1. .1..1..1..0..1

%Y Cf. A302741.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 12 2018