A214590 Number of nXnXn triangular 0..3 arrays with every horizontal row having the same average value.

4, 8, 62, 1862, 187862, 63120962, 71200442882, 272199293130242, 3552472974642762242, 159161446682919676638722, 24593308418551382594861736962, 13156534644821921838477614251069442

Offset: 1

Author

R. H. Hardin, Jul 22 2012

Keywords

• nonn
• changed

Comments

Column 3 of A214595.

a(n) appears to equal 2*A386650(n) + 2 for n >= 1, where A386650(n) = product of first n quadrinomial coefficients (A005725). - Paul D. Hanna, Aug 20 2025

Examples

			Some solutions for n=4
.....2........2........2........2........2........1........2........2
....1.3......1.3......3.1......2.2......3.1......0.2......3.1......2.2
...1.3.2....3.2.1....2.3.1....3.0.3....0.3.3....1.0.2....2.3.1....3.0.3
..1.2.2.3..3.0.3.2..3.2.3.0..0.3.3.2..3.2.1.2..0.0.3.1..3.0.3.2..3.2.0.3
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..61

Crossrefs

Cf. A214595, A386650.