%I #5 Apr 01 2016 12:34:57
%S 0,1,48,3654,546604,173123868,120268341210,186894023900240,
%T 657585270869505423,5280815619326228961327,97334193255656777198310662,
%U 4134298293573473978291399679465,405905093869786965065628534801801735
%N Number of nXnXn triangular 0..2 arrays with new values introduced in sequential zero-upwards order and exactly one upright 2x2x2 triangle having values all different.
%C Column 2 of A271194.
%H R. H. Hardin, <a href="/A271188/b271188.txt">Table of n, a(n) for n = 1..14</a>
%e Some solutions for n=4
%e .....0........0........0........0........0........0........0........0
%e ....1.0......1.2......0.0......0.1......1.2......1.2......0.1......0.1
%e ...0.0.1....2.2.1....1.2.0....2.1.2....1.1.1....0.1.1....1.1.2....2.2.2
%e ..1.1.2.1..2.0.0.1..2.2.1.1..2.1.2.0..2.1.1.1..0.1.1.2..0.1.0.1..2.1.0.2
%Y Cf. A271194.
%K nonn
%O 1,3
%A _R. H. Hardin_, Apr 01 2016