A181195 Number of n X 8 matrices containing a permutation of 1..n*8 in increasing order rowwise, columnwise, diagonally and (downwards) antidiagonally.

1, 429, 750325, 2152061145, 7372392431849, 26791156423752069, 99086837728795943389, 368253691037579094795185, 1370391973012218579798432209, 5101453317266742158652901045085

Offset

1,2

Comments

Column 8 of A181196.

Links

R. H. Hardin, Table of n, a(n) for n=1..100

Example

Some solutions for 3 X 8:
..1..2..3..4..5..6..7..8....1..2..3..4..5..6..7.11....1..2..3..4..5..6..7.11
..9.10.11.12.13.14.15.16....8..9.10.12.13.16.17.19....8..9.10.12.13.16.17.20
.17.18.19.20.21.22.23.24...14.15.18.20.21.22.23.24...14.15.18.19.21.22.23.24

Crossrefs

Cf. A181196.

Sequence in context: A258494 A258395 A215547 * A227597 A321976 A147694

Adjacent sequences: A181192 A181193 A181194 * A181196 A181197 A181198

Keyword

nonn

Author

R. H. Hardin, Oct 10 2010

Status

approved