%I #6 Sep 03 2022 22:15:48
%S 0,1,12,572,173936,353410332,4082259110399
%N Number of n X n X n triangular 0..5 arrays with each element equal to at least one neighbor and new values 0..5 introduced in row major order.
%e Some solutions for 5 X 5 X 5
%e ......0..........0..........0..........0..........0..........0..........0
%e .....0.1........0.1........0.1........0.1........0.1........0.1........0.1
%e ....2.2.1......0.1.1......2.2.1......2.1.3......1.1.2......0.1.1......2.2.1
%e ...3.3.4.4....1.2.2.1....0.0.0.3....2.3.3.3....2.2.2.0....2.0.3.1....1.3.4.1
%e ..2.2.4.5.5..1.0.0.0.1..4.4.4.3.3..3.3.3.4.4..0.0.1.1.0..2.0.3.3.1..1.3.4.5.5
%K nonn
%O 1,3
%A _R. H. Hardin_, Jul 04 2011