A252973 Number of nX5 nonnegative integer arrays with upper left 0 and lower right n+5-5 and value increasing by 0 or 1 with every step right or down

4, 61, 770, 6997, 46812, 248182, 1100210, 4230324, 14477724, 44951694, 128484004, 341970798, 855386126, 2025957453, 4571859908, 9881224135, 20544547580, 41246142411, 80218821614, 151563108019, 278867435440, 500751223536

Offset

1,1

Comments

Column 5 of A252976

Links

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

Formula

Empirical: a(n) = (29/130767436800)*n^15 + (29/1743565824)*n^14 + (761/1437004800)*n^13 + (4567/479001600)*n^12 + (156803/1437004800)*n^11 + (12553/14515200)*n^10 + (4753991/914457600)*n^9 + (7470857/304819200)*n^8 + (5376871/65318400)*n^7 + (1929223/10886400)*n^6 + (43011707/179625600)*n^5 + (2111353/19958400)*n^4 + (648195787/454053600)*n^3 + (11630747/16816800)*n^2 + (39227/9240)*n - 3

Example

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

Crossrefs

Sequence in context: A132064 A378553 A229666 * A262654 A218472 A304176

Adjacent sequences: A252970 A252971 A252972 * A252974 A252975 A252976

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved