A229871 Number of 4X4 0..n arrays with corresponding row and column sums equal

2432, 384183, 15106048, 266515625, 2805425280, 20610104767, 116211580928, 535021318017, 2098414000000, 7227967108439, 22362655260672, 63219695614153, 165498794685056, 405459218109375, 937601561264128, 2060839403682497

Offset

1,1

Comments

Row 4 of A229870

Links

R. H. Hardin, Table of n, a(n) for n = 1..73

Formula

Empirical: a(n) = (29/140)*n^13 + (377/140)*n^12 + (3449/210)*n^11 + (13057/210)*n^10 + (34249/210)*n^9 + (21941/70)*n^8 + (6826/15)*n^7 + (53206/105)*n^6 + (60773/140)*n^5 + (119003/420)*n^4 + (28807/210)*n^3 + (9791/210)*n^2 + (348/35)*n + 1

Example

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

Crossrefs

Sequence in context: A345175 A202201 A147984 * A192767 A341286 A250710

Adjacent sequences: A229868 A229869 A229870 * A229872 A229873 A229874

Keyword

nonn

Author

R. H. Hardin, Oct 01 2013

Status

approved