%I #4 Apr 06 2016 09:57:47
%S 0,0,15,10368,50382432,1107382932648,105922911577754160,
%T 45366137571771857371392,88764335084725137561699861768,
%U 803430619742909919221237883731275872
%N Number of nXnXn triangular 0..4 arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all equal.
%C Column 4 of A271407.
%H R. H. Hardin, <a href="/A271403/b271403.txt">Table of n, a(n) for n = 1..11</a>
%e Some solutions for n=4
%e .....0........0........0........0........0........0........0........0
%e ....1.1......1.0......0.1......1.1......1.0......1.2......1.0......0.1
%e ...1.1.0....2.3.3....0.2.2....2.1.3....1.1.1....1.1.3....2.0.0....2.2.3
%e ..2.0.3.2..4.0.3.2..2.3.2.3..3.2.0.0..0.1.2.1..1.1.4.2..2.3.0.3..4.2.4.3
%Y Cf. A271407.
%K nonn
%O 1,3
%A _R. H. Hardin_, Apr 06 2016