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%I #6 Feb 20 2016 06:48:55
%S 216,8532,275796,8317996,240647068,6766301156,186315931804,
%T 5049212790572,135126561336764,3579710280903028,94040960852579428,
%U 2453204481574556084,63613980689923027716,1641094486943583990844,42147014968744168530996
%N Number of nX4 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three no more than once.
%C Column 4 of A269143.
%H R. H. Hardin, <a href="/A269139/b269139.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 58*a(n-1) -1093*a(n-2) +7680*a(n-3) -27078*a(n-4) +58958*a(n-5) -88914*a(n-6) +82212*a(n-7) -35159*a(n-8) -20796*a(n-9) +39556*a(n-10) -11364*a(n-11) -13593*a(n-12) +9618*a(n-13) +429*a(n-14) -2060*a(n-15) +434*a(n-16) +166*a(n-17) -92*a(n-18) +16*a(n-19) -a(n-20) for n>22
%e Some solutions for n=2
%e ..2..3..2..2. .2..3..1..3. .0..0..1..1. .1..1..3..1. .1..1..0..1
%e ..2..2..2..3. .3..1..1..2. .0..1..1..0. .0..1..3..3. .0..1..1..3
%Y Cf. A269143.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 20 2016
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