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A202784
T(n,k) is the number of n X n 0..k arrays with row and column sums equal.
19
1, 1, 1, 1, 2, 1, 1, 3, 4, 1, 1, 4, 9, 14, 1, 1, 5, 16, 87, 140, 1, 1, 6, 25, 340, 5673, 4322, 1, 1, 7, 36, 1001, 89520, 2577513, 434542, 1, 1, 8, 49, 2442, 790425, 290838284, 8459809773, 144109562, 1, 1, 9, 64, 5215, 4756140, 11991502235, 12092687195284, 207495141083975, 165431317452, 1
OFFSET
0,5
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..119 (first 15 antidiagonals; terms up to n=61 from R. H. Hardin)
EXAMPLE
Table starts
n\k | 0 1 2 3 4
----+-------------------------------------------------------------------
0 | 1 1 1 1 1 ...
1 | 1 2 3 4 5 ...
2 | 1 4 9 16 25 ...
3 | 1 14 87 340 1001 ...
4 | 1 140 5673 89520 790425 ...
5 | 1 4322 2577513 290838284 11991502235 ...
6 | 1 434542 8459809773 12092687195284 3632894572698505 ...
7 | 1 144109562 207495141083975 ...
8 | 1 165431317452 ...
...
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 24 2011
EXTENSIONS
Added crossrefs. - R. H. Hardin, Jan 05 2012
Row and column zero inserted by Andrew Howroyd, Oct 14 2024
STATUS
approved