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%I #4 Mar 14 2018 07:25:53
%S 3,2,4,8,17,57,148,356,864,2272,5766,14438,36379,92632,234473,592300,
%T 1497878,3794198,9602820,24292985,61469034,155580439,393724501,
%U 996303601,2521217660,6380413994,16146453573,40860032492,103400766211,261668897174
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A300888.
%H R. H. Hardin, <a href="/A300883/b300883.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-2) +7*a(n-3) +6*a(n-4) -15*a(n-5) -47*a(n-6) -47*a(n-7) +5*a(n-8) +102*a(n-9) +86*a(n-10) +23*a(n-12) +28*a(n-13) -51*a(n-14) -119*a(n-15) -24*a(n-16) +111*a(n-17) +69*a(n-18) -21*a(n-19) -27*a(n-20) -6*a(n-21) for n>25
%e Some solutions for n=5
%e ..0..1..0. .0..0..0. .0..0..0. .0..0..0. .0..1..1. .0..0..1. .0..1..1
%e ..0..0..1. .1..0..0. .1..0..0. .1..0..0. .1..1..1. .1..1..0. .1..1..1
%e ..0..0..1. .0..1..0. .0..0..1. .1..0..1. .1..0..1. .0..1..0. .1..0..1
%e ..1..0..0. .1..0..0. .0..0..1. .0..0..1. .1..1..1. .0..0..0. .1..0..0
%e ..0..1..1. .0..1..0. .0..0..0. .0..0..0. .1..1..0. .0..0..1. .0..1..1
%Y Cf. A300888.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 14 2018
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