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%I #4 Dec 16 2017 08:11:32
%S 4,39,228,1441,9194,58251,370000,2348956,14911425,94666856,600990310,
%T 3815376381,24221881145,153772297152,976221544080,6197530535955,
%U 39344946314271,249780908473727,1585731028946978,10066993955147757
%N Number of nX3 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.
%C Column 3 of A296599.
%H R. H. Hardin, <a href="/A296594/b296594.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +6*a(n-2) +16*a(n-3) -a(n-4) +22*a(n-5) -29*a(n-6) -37*a(n-7) +59*a(n-8) -18*a(n-9) -43*a(n-10) +16*a(n-11) +11*a(n-12) -4*a(n-13) -6*a(n-14) +3*a(n-15) +2*a(n-16) -a(n-17)
%e Some solutions for n=6
%e ..0..0..0. .0..0..0. .0..1..1. .1..1..1. .1..1..0. .1..0..1. .1..1..1
%e ..0..1..0. .1..1..1. .0..0..1. .0..1..0. .0..0..0. .1..1..0. .1..0..1
%e ..0..1..0. .0..1..0. .1..1..1. .0..0..1. .1..0..0. .0..1..0. .1..0..0
%e ..0..0..0. .0..1..1. .0..0..0. .1..1..0. .1..0..0. .1..0..1. .1..0..0
%e ..0..1..0. .0..1..1. .0..1..1. .1..0..1. .0..0..1. .0..1..1. .0..0..0
%e ..0..1..1. .0..0..0. .1..1..0. .1..1..0. .1..1..1. .1..0..1. .1..1..0
%Y Cf. A296599.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 16 2017
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