A252974 Number of nX6 nonnegative integer arrays with upper left 0 and lower right n+6-5 and value increasing by 0 or 1 with every step right or down

10, 192, 2859, 30802, 248182, 1592348, 8528422, 39423196, 161160206, 593478797, 1997447386, 6215980425, 18056320047, 49345966862, 127715626611, 314800577783, 742509146839, 1682790560239, 3677643193138, 7774488966837, 15941255148133

Offset

1,1

Comments

Column 6 of A252976

Links

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

Formula

Empirical: a(n) = (883/1600593426432000)*n^18 + (883/16167610368000)*n^17 + (148963/62768369664000)*n^16 + (6599/108972864000)*n^15 + (8020459/7846046208000)*n^14 + (3062099/249080832000)*n^13 + (813101243/7242504192000)*n^12 + (165163519/201180672000)*n^11 + (1074230093/219469824000)*n^10 + (564482173/24385536000)*n^9 + (410608176823/4828336128000)*n^8 + (212043001/870912000)*n^7 + (12296690400809/23538138624000)*n^6 + (525004330021/653837184000)*n^5 + (1880413300609/1307674368000)*n^4 + (10237127057/6054048000)*n^3 + (183696263083/30875644800)*n^2 + (15176011/12252240)*n - 2

Example

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

Crossrefs

Sequence in context: A244385 A134633 A006436 * A341503 A187652 A361311

Adjacent sequences: A252971 A252972 A252973 * A252975 A252976 A252977

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved