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%I #8 Jun 09 2023 22:15:50
%S 2,8,45,442,7844,227960,11338707,967001704,139878150889,
%T 34482378877062,14485392134699640,10360611912959874865,
%U 12622082042125925192310,26191137001819846311849551,92562230432526123151485183549
%N Number of n X n X n triangular binary arrays with no three 1's adjacent in a row in any of the three triangular directions.
%H R. H. Hardin, <a href="/A183277/b183277.txt">Table of n, a(n) for n = 1..16</a>
%e Some solutions for 4 X 4 X 4 with no three 1's in a row:
%e .....0........1........0........0........1........0........1........0
%e ....1.1......0.0......0.1......0.0......0.1......0.0......0.1......1.0
%e ...0.0.0....0.1.0....0.0.0....1.1.0....0.1.0....0.1.1....1.1.0....0.1.0
%e ..1.0.0.0..1.1.0.1..1.1.0.0..0.1.0.0..0.0.1.0..1.1.0.1..1.0.0.0..0.1.0.1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 03 2011
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