%I #12 Apr 23 2018 14:22:44
%S 1,1,15,3429,18172005,3030361658604,20538495213667066533,
%T 7069329642959332230532689983,150574890630606350105309341350824904669,
%U 237075065354315062816111131522815337395866137560373,32430625006159571889921247597353572731767630164652210957593666925
%N Number of triangular n X n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any neighbor.
%e Some solutions for n=4
%e .....0........0........0........0........0........0........0........0
%e ....1.2......1.2......1.2......1.2......1.2......1.2......1.2......1.2
%e ...2.0.3....3.4.0....2.0.1....0.3.4....3.4.0....3.4.0....3.4.5....3.4.0
%e ..3.1.4.1..4.2.5.4..3.1.3.0..4.5.2.5..0.5.3.6..4.5.3.6..5.0.2.1..1.2.3.5
%Y Cf. A182797, A193283.
%K nonn
%O 1,3
%A _R. H. Hardin_, Apr 23 2012
%E a(7)-a(11) from _Andrew Howroyd_, Apr 23 2018