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%I #4 Apr 06 2016 09:55:53
%S 0,0,14,2592,896832,685305792,1246974564672,5607184696618752,
%T 63628800211599189696,1845949854751814927534400,
%U 138092017951559818658767383936,26797163221892636458271315168303232
%N Number of nXnXn triangular 0..2 arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all equal.
%C Column 2 of A271407.
%H R. H. Hardin, <a href="/A271401/b271401.txt">Table of n, a(n) for n = 1..13</a>
%e Some solutions for n=4
%e .....0........0........0........0........0........0........0........0
%e ....1.1......0.1......0.0......1.1......1.2......1.1......1.1......1.0
%e ...2.2.2....2.0.0....1.1.2....0.0.0....2.2.0....0.1.0....0.1.2....0.0.2
%e ..1.1.2.1..1.1.0.0..1.1.0.1..0.0.2.1..0.2.2.1..0.0.1.2..0.1.0.1..1.0.1.1
%Y Cf. A271407.
%K nonn
%O 1,3
%A _R. H. Hardin_, Apr 06 2016