A301903 - OEIS

%I #4 Mar 28 2018 16:07:12

%S 1,3,2,8,12,64,196,864,3236,13280,52260,210400,838180,3358176,

%T 13419044,53698016,214737444,859037152,3435930148,13744070112,

%U 54975406628,219903024608,879608603172,3518440005088,14073746039332,56295006526944

%N Number of nX5 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A301906.

%H R. H. Hardin, <a href="/A301903/b301903.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +5*a(n-2) -20*a(n-3) -4*a(n-4) +16*a(n-5) for n>6

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301906.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 28 2018