A202920 Number of nX4 nonnegative integer arrays with each row and column increasing from zero by 0, 1, 2 or 3

1, 20, 534, 11016, 150590, 1441046, 10457226, 61213311, 302092215, 1297497783, 4965323693, 17234628058, 55015736433, 163298076933, 454724969302, 1196643377731, 2994141259048, 7159760760474, 16433842970073, 36343144995894

Offset

1,2

Comments

Column 4 of A202924

Links

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

Formula

Empirical: a(n) = (14137/1600593426432000)*n^18 + (63821/118562476032000)*n^17 + (19169/1255367393280)*n^16 + (1403503/5230697472000)*n^15 + (92953/29113344000)*n^14 + (3605737/135862272000)*n^13 + (10145857/65840947200)*n^12 + (239478037/402361344000)*n^11 + (295677857/219469824000)*n^10 + (199871209/146313216000)*n^9 + (195277507/68976230400)*n^8 + (852272347/28740096000)*n^7 + (1232979942193/11769069312000)*n^6 + (100190391911/1307674368000)*n^5 - (2533465447/11887948800)*n^4 + (39976849/103194000)*n^3 + (221344693/200491200)*n^2 - (3054187/2042040)*n + 1

Example

Some solutions for n=4
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....0..1..1..3....0..0..0..2....0..0..0..1....0..0..0..3
..0..1..2..3....0..2..3..5....0..3..3..4....0..1..3..4....0..3..3..3
..0..2..3..3....0..2..5..7....0..3..5..7....0..2..4..5....0..3..6..6

Crossrefs

Sequence in context: A371017 A337352 A180882 * A210486 A047682 A231249

Adjacent sequences: A202917 A202918 A202919 * A202921 A202922 A202923

Keyword

nonn

Author

R. H. Hardin Dec 26 2011

Status

approved