A202784 T(n,k) is the number of n X n 0..k arrays with row and column sums equal.

2, 3, 4, 4, 9, 14, 5, 16, 87, 140, 6, 25, 340, 5673, 4322, 7, 36, 1001, 89520, 2577513, 434542, 8, 49, 2442, 790425, 290838284, 8459809773, 144109562, 9, 64, 5215, 4756140, 11991502235, 12092687195284, 207495141083975, 165431317452, 10, 81

Offset

1,1

Comments

Table starts

............2...............3..............4................5............6

............4...............9.............16...............25...........36

...........14..............87............340.............1001.........2442

..........140............5673..........89520...........790425......4756140

.........4322.........2577513......290838284......11991502235.255657603186

.......434542......8459809773.12092687195284.3632894572698505

....144109562.207495141083975

.165431317452

Links

R. H. Hardin, Table of n, a(n) for n = 1..42

Example

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

Crossrefs

Rows 3..5 are A202785, A202786, A202787.

Columns 1..15 are A067209, A067210, A067211, A067212, A067213, A067214, A067215, A067216, A067217, A067218, A067219, A067220, A067221, A067222, A067223.

Sequence in context: A228740 A269583 A250361 * A118263 A217478 A279788

Adjacent sequences: A202781 A202782 A202783 * A202785 A202786 A202787

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 24 2011

Extensions

Added crossrefs - R. H. Hardin, Jan 05 2012

Status

approved