A224054 Number of nX5 0..2 arrays with rows and columns unimodal and antidiagonals nondecreasing

86, 1915, 18502, 115716, 568107, 2392915, 9064541, 31777144, 104876598, 329032264, 986501800, 2835296957, 7828424002, 20803012406, 53300631267, 131909615889, 315895583635, 733342224413, 1653158389976, 3624784596348

Offset

1,1

Comments

Column 5 of A224057

Links

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

Formula

Empirical: a(n) = (1/1379196149760000)*n^20 + (1/27583922995200)*n^19 + (67/43553562624000)*n^18 + (163/3908653056000)*n^17 + (33853/34871316480000)*n^16 + (190111/10461394944000)*n^15 + (2078491/6974263296000)*n^14 + (221821/55351296000)*n^13 + (343209919/6897623040000)*n^12 + (12543727/32845824000)*n^11 + (5532659291/1072963584000)*n^10 + (47191439329/1609445376000)*n^9 + (4217033948263/13076743680000)*n^8 + (559137652921/373621248000)*n^7 + (8858390764133/1120863744000)*n^6 + (3120341453/532224000)*n^5 + (759212883816859/9262693440000)*n^4 - (58527804403451/154378224000)*n^3 + (36684493649747/24443218800)*n^2 + (34656538003/23279256)*n - 11297 for n>5

Example

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

Crossrefs

Sequence in context: A223915 A224187 A223930 * A224307 A224371 A055534

Adjacent sequences: A224051 A224052 A224053 * A224055 A224056 A224057

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved