A223965 Number of 5 X n 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.

1024, 48620, 485714, 2575955, 9779558, 30643468, 85350934, 220335341, 539722230, 1270939682, 2897487924, 6419463692, 13849588776, 29130616029, 59785815715, 119811736276, 234625138625, 449330010578, 842238087946, 1546539992378

Offset

1,1

Comments

Row 5 of A223961.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (1/217728000)*n^15 + (1/7257600)*n^14 + (1021/283046400)*n^13 + (89/1267200)*n^12 + (49747/42768000)*n^11 + (114077/7257600)*n^10 + (4197611/21772800)*n^9 + (2072933/1036800)*n^8 + (4176906623/217728000)*n^7 + (25808249/172800)*n^6 + (198423611/194400)*n^5 + (1908980977/453600)*n^4 + (19380549743/4536000)*n^3 - (3498352713/30800)*n^2 + (12988213717/90090)*n + 329692 for n>8.

Example

Some solutions for n=3
..0..0..0....0..0..2....0..0..0....0..0..3....0..0..2....0..0..0....0..0..3
..0..0..0....2..2..3....2..2..2....0..2..3....0..0..0....0..0..0....0..0..0
..1..2..2....0..2..3....1..2..3....1..1..2....0..2..2....0..0..1....0..0..3
..0..2..3....1..2..3....1..1..2....0..2..2....0..0..3....0..2..2....0..1..3
..0..3..3....0..2..2....1..1..3....1..2..2....0..2..3....2..2..2....0..1..2

Crossrefs

Cf. A223961.

Sequence in context: A016805 A230790 A231843 * A232960 A195658 A264205

Adjacent sequences: A223962 A223963 A223964 * A223966 A223967 A223968

Keyword

nonn

Author

R. H. Hardin, Mar 29 2013

Status

approved