A224187 Number of nX5 0..2 arrays with rows unimodal and columns nondecreasing.
86, 1600, 14751, 89380, 408222, 1519738, 4844576, 13669953, 34953776, 82399174, 181434331, 376946128, 744873156, 1409068188, 2565196232, 4513845865, 7705502706, 12800568660, 20748212991, 32888515396, 51083111090, 77880377510
Offset: 1
Keywords
Examples
Some solutions for n=3 ..0..1..0..0..0....0..1..2..1..1....0..0..1..1..1....0..1..2..1..1 ..0..1..1..0..0....0..1..2..1..1....0..2..2..1..1....2..2..2..2..1 ..1..2..2..2..2....0..1..2..2..2....0..2..2..1..1....2..2..2..2..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = (1009/907200)*n^10 + (913/36288)*n^9 + (15121/60480)*n^8 + (8677/6048)*n^7 + (226987/43200)*n^6 + (110621/8640)*n^5 + (3804217/181440)*n^4 + (206081/9072)*n^3 + (130433/8400)*n^2 + (3793/630)*n + 1
Comments