A302620 - OEIS

%I #4 Apr 10 2018 19:11:06

%S 16,78,79,251,896,2669,8283,25770,79047,246053,762945,2360425,7321295,

%T 22685256,70286966,217858158,675095417,2092068068,6483475187,

%U 20091819256,62264156028,192956081997,597964496726,1853080152322,5742656322238

%N Number of nX5 0..1 arrays with every element equal to 0, 1, 2 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A302623.

%H R. H. Hardin, <a href="/A302620/b302620.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) +6*a(n-3) -12*a(n-4) -6*a(n-5) -7*a(n-6) -4*a(n-7) +20*a(n-9) +30*a(n-10) +4*a(n-11) -19*a(n-12) -36*a(n-13) +4*a(n-14) +16*a(n-15) for n>20

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302623.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 10 2018