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

Author

R. H. Hardin, Dec 25 2014

Keywords

• nonn

Comments

Column 5 of A252976

Examples

			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
		

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