A224060 Number of nX4 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing

130, 4580, 58814, 506513, 3509115, 21167501, 114643788, 564290412, 2542634801, 10557558941, 40668731568, 146309729951, 494716846368, 1581405249972, 4804031345110, 13933344725622, 38739584907398, 103620108265460

Offset

1,1

Comments

Column 4 of A224064

Links

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

Formula

Empirical: a(n) = (1/2906843957821440000)*n^24 + (1/80745665495040000)*n^23 + (14503/17841281393295360000)*n^22 + (4577/187146308321280000)*n^21 + (57773/73169985208320000)*n^20 + (451967/24825530695680000)*n^19 + (25829959/64023737057280000)*n^18 + (161591629/21341245685760000)*n^17 + (1317174581/10042939146240000)*n^16 + (1042229807/684745850880000)*n^15 + (224775509633/15064408719360000)*n^14 + (255513067541/1076029194240000)*n^13 - (126037283815777/331416991825920000)*n^12 + (4311994432289/156920924160000)*n^11 - (290647612737067/2510734786560000)*n^10 + (5895362157233/4526565120000)*n^9 - (80296454539927819/32011868528640000)*n^8 + (2890170225407863/285820254720000)*n^7 + (6620255551080740287/152056375511040000)*n^6 - (119874811010411/95995186560000)*n^5 - (594949061071512629/422378820864000)*n^4 + (3927812632523993/279351072000)*n^3 - (77971408834461167/1562307626880)*n^2 + (50159875988069/1784742960)*n + 138193 for n>7

Example

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

Crossrefs

Sequence in context: A224169 A223860 A223983 * A224046 A224277 A224200

Adjacent sequences: A224057 A224058 A224059 * A224061 A224062 A224063

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved