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Number of 4Xn 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 11:23:21

%S 8,128,1652,21625,285613,3778433,50012515,662080634,8765152857,

%T 116041489300,1536272725817,20338725884827,269264599669170,

%U 3564797029819794,47194388320663969,624807045634867762

%N Number of 4Xn 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 4 of A302741.

%H R. H. Hardin, <a href="/A302743/b302743.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +16*a(n-2) -165*a(n-3) -70*a(n-4) +100*a(n-5) -564*a(n-6) +879*a(n-7) -500*a(n-8) +1128*a(n-9) +1340*a(n-10) -448*a(n-11) -182*a(n-12) -314*a(n-13) +12*a(n-14) +2*a(n-15) for n>16

%e Some solutions for n=5

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

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

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

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

%Y Cf. A302741.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 12 2018