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%I #4 Mar 08 2016 07:37:33
%S 84,36312,5695536,755009274,91506078732,10536802638018,
%T 1172354654705496,127313882431172946,13576906131836963556,
%U 1427607948065847637818,148433098389226769237376,15291883407551679953054394
%N Number of nX3 0..6 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling six exactly once.
%C Column 3 of A269937.
%H R. H. Hardin, <a href="/A269933/b269933.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 144*a(n-1) -244*a(n-2) -431040*a(n-3) -653070*a(n-4) +185824500*a(n-5) -1565542220*a(n-6) -2246788724*a(n-7) +49596662711*a(n-8) -28656277332*a(n-9) -578014144012*a(n-10) +498466153668*a(n-11) +3129025277000*a(n-12) -1799356594080*a(n-13) -8214266955364*a(n-14) +1238204980096*a(n-15) +7873681484512*a(n-16) -756824714624*a(n-17) -2602301179968*a(n-18) +547351490048*a(n-19) -28883682304*a(n-20) for n>21
%e Some solutions for n=2
%e ..4..6..0. .6..2..1. .5..4..0. .1..3..4. .4..5..3. .0..5..6. .3..0..0
%e ..6..4..3. .5..6..4. .6..1..4. .0..5..5. .5..4..2. .3..0..4. .3..2..0
%Y Cf. A269937.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 08 2016
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