A215178 Number of nXnXn triangular 0..4 arrays with every horizontal row nondecreasing, first elements of rows nonincreasing, last elements of rows nondecreasing, and every row having the same average value

5, 9, 22, 83, 412, 3216, 36645, 635051, 14920889, 488255207, 20925387170, 1149691363211, 79301409027598, 6819240506185074, 709180385547570205, 89356029012630707211, 13403374746065668105583, 2372395952629601456230037

Offset

1,1

Comments

Column 4 of A215182

Links

R. H. Hardin, Table of n, a(n) for n = 1..109

Example

Some solutions for n=4
.....2........2........3........2........2........4........1........2
....2.2......1.3......3.3......2.2......1.3......4.4......0.2......2.2
...0.3.3....0.2.4....1.4.4....1.1.4....1.1.4....4.4.4....0.1.2....2.2.2
..0.0.4.4..0.0.4.4..0.4.4.4..1.1.2.4..0.2.2.4..4.4.4.4..0.0.2.2..1.1.3.3

Crossrefs

Sequence in context: A102177 A299266 A219521 * A058893 A263830 A343803

Adjacent sequences: A215175 A215176 A215177 * A215179 A215180 A215181

Keyword

nonn

Author

R. H. Hardin Aug 05 2012

Status

approved