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%I #4 Feb 19 2016 09:48:05
%S 108,11424,715320,37963968,1856325000,86415197088,3892946216856,
%T 171307237216320,7406621052177000,315868041326151072,
%U 13323538607075686392,556962735401445373632,23108630644746952831560
%N Number of nX4 0..3 arrays with some element plus some horizontally or vertically adjacent neighbor totalling three exactly once.
%C Column 4 of A269097.
%H R. H. Hardin, <a href="/A269093/b269093.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 90*a(n-1) -2559*a(n-2) +24556*a(n-3) -94959*a(n-4) +140442*a(n-5) -69169*a(n-6) for n>7
%e Some solutions for n=2
%e ..1..1..1..2. .1..3..3..1. .0..1..0..0. .0..2..2..3. .1..0..1..0
%e ..0..1..0..2. .0..0..1..3. .2..3..2..1. .1..2..3..1. .3..2..1..1
%Y Cf. A269097.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 19 2016