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%I #4 Feb 19 2016 09:49:40
%S 1620,889056,300056400,86415197088,22984646281176,5826856525990272,
%T 1430390977786967280,343122372255163660560,80890546793429923552008,
%U 18813147168685841982033408,4328190538478506032118840320
%N Number of nX6 0..3 arrays with some element plus some horizontally or vertically adjacent neighbor totalling three exactly once.
%C Column 6 of A269097.
%H R. H. Hardin, <a href="/A269095/b269095.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 624*a(n-1) -148392*a(n-2) +17707654*a(n-3) -1237692774*a(n-4) +55270649556*a(n-5) -1656470723141*a(n-6) +34132157660412*a(n-7) -484096890617541*a(n-8) +4569992373952272*a(n-9) -25146261177957786*a(n-10) +25694778316842858*a(n-11) +756190434082200840*a(n-12) -6052462771631752224*a(n-13) +18126128855859433455*a(n-14) +18664609483184919500*a(n-15) -342070453287924453888*a(n-16) +1141375792492508055684*a(n-17) -1231488788816842507708*a(n-18) -2418565901590843869576*a(n-19) +9095171580512370570684*a(n-20) -8677540039273932904920*a(n-21) -4965678440542161492372*a(n-22) +17155105764294227912496*a(n-23) -13588702943203699236720*a(n-24) +4184136771765648014016*a(n-25) -441364595341874186304*a(n-26) for n>27
%e Some solutions for n=1
%e ..2..0..2..1..0..2. .1..3..1..2..3..1. .0..1..0..0..3..1. .0..3..3..1..1..0
%Y Cf. A269097.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 19 2016
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