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A269107 Number of nX6 0..3 arrays with some element plus some horizontally or vertically adjacent neighbor totalling three no more than once.

%I A269107 #4 Feb 19 2016 13:45:56
%S A269107 2592,1090740,342055548,95166487524,24808345933548,6206909793496236,
%T A269107 1509593256271433868,359627971978314972756,84330282164848323860700,
%U A269107 19529981463869576058830652,4477577440675705031339912748
%N A269107 Number of nX6 0..3 arrays with some element plus some horizontally or vertically adjacent neighbor totalling three no more than once.
%C A269107 Column 6 of A269109.
%H A269107 R. H. Hardin, <a href="/A269107/b269107.txt">Table of n, a(n) for n = 1..210</a>
%F A269107 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 A269107 Some solutions for n=1
%e A269107 ..1..0..0..1..3..1. .3..1..3..1..0..1. .1..0..0..1..3..3. .0..0..1..3..2..2
%Y A269107 Cf. A269109.
%K A269107 nonn
%O A269107 1,1
%A A269107 _R. H. Hardin_, Feb 19 2016