A302518 - OEIS

%I #4 Apr 09 2018 09:12:06

%S 16,9,14,48,90,199,689,2125,5410,13908,39850,114503,312683,845807,

%T 2344052,6547828,18092168,49718487,137265089,380242741,1051385042,

%U 2901539840,8012628856,22150069687,61220830095,169117170519,467176484780

%N Number of 5Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 5 of A302515.

%H R. H. Hardin, <a href="/A302518/b302518.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +20*a(n-4) +7*a(n-5) -2*a(n-6) -6*a(n-7) -40*a(n-8) -6*a(n-9) -2*a(n-10) -2*a(n-11) +22*a(n-12) -5*a(n-13) for n>17

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302515.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2018