A265116 Number of nX4 arrays of permutations of 4 copies of 0..n-1 with row sums equal, column sums equal and full-length antidiagonal sums equal to the short dimension sums.

1, 0, 6, 624, 6592, 126764, 3493730

Offset

1,3

Comments

Column 4 of A265117.

Links

Table of n, a(n) for n=1..7.

Example

Some solutions for n=5
..1..1..4..2....1..4..1..2....2..4..0..2....2..0..2..4....1..4..3..0
..0..4..0..4....4..1..3..0....2..3..3..0....1..4..1..2....0..3..3..2
..3..3..0..2....0..0..4..4....0..1..3..4....3..2..3..0....2..1..1..4
..3..1..2..2....3..2..2..1....2..1..1..4....1..0..4..3....4..2..2..0
..3..1..4..0....2..3..0..3....4..1..3..0....3..4..0..1....3..0..1..4

Crossrefs

Cf. A265117.

Sequence in context: A172899 A222831 A206458 * A132928 A055317 A321425

Adjacent sequences: A265113 A265114 A265115 * A265117 A265118 A265119

Keyword

nonn

Author

R. H. Hardin, Dec 01 2015

Status

approved