A302510 - OEIS

%I #6 Apr 07 2020 12:36:51

%S 3,3,11,9,14,21,28,37,51,72,100,137,188,260,360,497,685,945,1305,1802,

%T 2487,3432,4737,6539,9026,12458,17195,23734,32760,45218,62413,86147,

%U 118907,164125,226538,312685,431592,595717,822255,1134940,1566532

%N Number of n X 3 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%H R. H. Hardin, <a href="/A302510/b302510.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-4) for n>7.

%e Some solutions for n=5

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

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

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

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

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

%Y Column 3 of A302515.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2018