login
Number of 2Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
4

%I #4 Apr 02 2018 14:50:06

%S 2,3,9,17,25,65,185,385,649,1489,3929,8609,15913,34545,85497,191809,

%T 377545,802961,1894553,4279521,8785769,18612785,42501945,95817857,

%U 202153993,429672401,960801241,2153871393,4621792425,9879318897

%N Number of 2Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 2 of A302163.

%H R. H. Hardin, <a href="/A302164/b302164.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +16*a(n-4) -8*a(n-5) for n>6

%e Some solutions for n=5

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

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

%Y Cf. A302163.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 02 2018