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%I #3 Jul 14 2012 21:39:29
%S 4,32,456,11048,445024,29456216,3183854216,560099178288,
%T 160085922224504,74273794007636336,55915904574400617168,
%U 68294422849744215469224
%N Number of nXnXn triangular 0..3 arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and no element equal to its horizontal neighbors
%C Column 3 of A214384
%e Some solutions for n=3
%e ....2......1......2......2......2......2......3......2......1......2......3
%e ...3.2....2.0....0.2....2.3....3.1....3.1....1.3....0.2....2.0....2.1....2.3
%e ..3.0.2..3.0.2..0.3.2..1.3.1..1.3.0..2.3.1..2.1.3..0.3.1..2.3.0..3.0.3..3.2.3
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 14 2012