A265117 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with row sums equal, column sums equal and full-length antidiagonal sums equal to the short dimension sums.

1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 8, 0, 0, 1, 0, 6, 0, 0, 0, 1, 0, 10, 624, 16, 0, 0, 1, 0, 26, 0, 6592, 0, 0, 0, 1, 0, 42, 10110, 8140944, 126764, 168, 0, 0, 1, 0, 70, 0, 195568740, 0, 3493730, 0, 0, 0, 1, 0, 150, 300744

Offset

1,13

Comments

Table starts

.1.1...1.......1.......1.........1..1......1...1.1.1

.0.0...0.......0.......0.........0..0......0...0.0

.0.0...8.......6......10........26.42.....70.150

.0.0...0.....624.......0.....10110..0.300744

.0.0..16....6592.8140944.195568740

.0.0...0..126764.......0

.0.0.168.3493730

.0.0...0

.0.0

.0

Links

Table of n, a(n) for n=1..59.

Example

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

Crossrefs

Sequence in context: A047758 A186980 A171918 * A345159 A279418 A157244

Adjacent sequences: A265114 A265115 A265116 * A265118 A265119 A265120

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 01 2015

Status

approved