A215185 Number of 5X5X5 triangular 0..n arrays with every horizontal row nondecreasing, first elements of rows nonincreasing, last elements of rows nondecreasing, and every row having the same average value.

2, 17, 80, 412, 1558, 5096, 14826, 39630, 97184, 223612, 482160, 991120, 1946560, 3679402, 6713958, 11870167, 20399452, 34184289, 55959254, 89708318, 140988720, 217682282, 330552474, 494354268, 728865852, 1060428048, 1523781598

Offset

1,1

Comments

Row 5 of A215182

Links

R. H. Hardin, Table of n, a(n) for n = 1..147

Example

Some solutions for n=4
......2..........1..........2..........3..........3..........2..........2
.....2.2........0.2........1.3........3.3........2.4........2.2........2.2
....1.1.4......0.1.2......1.1.4......3.3.3......2.3.4......2.2.2......0.3.3
...1.1.2.4....0.1.1.2....1.1.2.4....1.3.4.4....2.3.3.4....0.1.3.4....0.2.3.3
..1.1.1.3.4..0.0.0.1.4..0.1.2.3.4..0.3.4.4.4..2.2.3.4.4..0.2.2.2.4..0.1.3.3.3

Crossrefs

Sequence in context: A297411 A183175 A060352 * A002523 A360747 A360813

Adjacent sequences: A215182 A215183 A215184 * A215186 A215187 A215188

Keyword

nonn

Author

R. H. Hardin, Aug 05 2012

Status

approved