A302422 - OEIS

%I #4 Apr 07 2018 17:18:18

%S 3,9,11,21,51,93,207,517,1007,2333,5847,11781,27055,66861,137895,

%T 314197,766367,1610429,3649239,8799333,18772687,42381645,101181063,

%U 218513269,492148223,1164905693,2540589879,5713965957,13425837103,29512490349

%N Number of nX3 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A302427.

%H R. H. Hardin, <a href="/A302422/b302422.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +10*a(n-3) -8*a(n-4) for n>9

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302427.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 07 2018