A224189 Number of nX7 0..2 arrays with rows unimodal and columns nondecreasing

239, 9503, 165212, 1727738, 12741432, 72710554, 340780382, 1366188661, 4823267213, 15322738603, 44529268480, 119909493132, 302279622352, 719306742780, 1626780581324, 3516536949577, 7300336446323, 14614022023815

Offset

1,1

Comments

Column 7 of A224190

Links

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

Formula

Empirical: a(n) = (118519/21794572800)*n^14 + (93527/444787200)*n^13 + (6343/1710720)*n^12 + (9456619/239500800)*n^11 + (1028647/3628800)*n^10 + (10525213/7257600)*n^9 + (5190079/952560)*n^8 + (47462621/3110400)*n^7 + (99470417/3110400)*n^6 + (542507339/10886400)*n^5 + (226284461/3991680)*n^4 + (453542611/9979200)*n^3 + (60780847/2522520)*n^2 + (96119/12870)*n + 1

Example

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

Crossrefs

Sequence in context: A056095 A224261 A223917 * A223932 A224056 A224309

Adjacent sequences: A224186 A224187 A224188 * A224190 A224191 A224192

Keyword

nonn

Author

R. H. Hardin Apr 01 2013

Status

approved