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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. 4
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 (list; table; graph; refs; listen; history; text; internal format)
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 * A279418 A157244 A154191

Adjacent sequences:  A265114 A265115 A265116 * A265118 A265119 A265120

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 01 2015

STATUS

approved

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Last modified October 18 00:21 EDT 2019. Contains 328135 sequences. (Running on oeis4.)