%I #3 Mar 14 2016 09:14:57
%S 0,24,768,37848,3280968,534438768,168922341960,105517892702664,
%T 131753433792113808,331340420421242860608,1687124453705206024927056,
%U 17459534608150280430379207968,368268947135078917128505577185992
%N Number of nXnXn triangular 0..3 arrays with some element plus some adjacent element totalling 3 exactly once.
%C Column 3 of A270256.
%e Some solutions for n=4
%e .....2........3........3........3........3........1........0........2
%e ....2.2......2.0......3.3......3.2......2.3......0.0......3.2......0.2
%e ...3.3.0....2.2.0....1.1.1....0.2.0....3.2.0....2.0.1....2.2.3....0.0.1
%e ..1.1.1.0..2.2.2.2..2.3.1.0..0.0.2.0..2.2.0.0..2.2.2.3..2.3.3.3..2.0.0.1
%Y Cf. A270256.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 14 2016