A214589 Number of nXnXn triangular 0..2 arrays with every horizontal row having the same average value.

3, 5, 23, 401, 20351, 2869211, 1127599139, 1248252244661, 3918263795984603, 35080215765450132755, 899912775031092255512711, 66403663756769266442027284403, 14140062564030204365431731967633343

Offset: 1

Author

R. H. Hardin, Jul 22 2012

Keywords

• nonn
• changed

Comments

Column 2 of A214595.

a(n) appears to equal A386649(n) + 2 for n >= 1, where A386649(n) = product of first n central trinomial coefficients (A002426). - Paul D. Hanna, Aug 20 2025

Examples

			Some solutions for n=4
.....1........1........1........1........1........1........1........1
....1.1......2.0......0.2......0.2......0.2......2.0......0.2......1.1
...2.0.1....2.0.1....1.2.0....2.1.0....1.1.1....2.1.0....1.2.0....0.2.1
..0.2.1.1..1.0.1.2..0.2.2.0..1.2.0.1..2.1.1.0..0.1.1.2..0.2.1.1..0.0.2.2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..66

Crossrefs

Cf. A214595, A386649.