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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.
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%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