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A096970 Number of ways to number the cells of an n X n square grid with 1,2,3,...,n^2 so that successive integers are in the same row or column. 8
1, 8, 1512, 22394880, 50657369241600, 28606505102329400524800, 5959275438217048853558620520448000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Suggested by Leroy Quet, Jul 05 2004.

For n >= 2, number of (directed) Hamiltonian paths on the n X n rook graph. - Eric W. Weisstein, Dec 16 2013

LINKS

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

Eric Weisstein's World of Mathematics, Hamiltonian Path

Eric Weisstein's World of Mathematics, Rook Graph

Index entries for sequences related to graphs, Hamiltonian

EXAMPLE

Among the 4 X 4 grids counted is:

1   2  3 10

15  6  5 11

14 13  4 12

16  7  8  9

CROSSREFS

Cf. A096969, A269561, A269565.

Sequence in context: A172938 A252176 A252763 * A248386 A114617 A162014

Adjacent sequences:  A096967 A096968 A096969 * A096971 A096972 A096973

KEYWORD

nonn,more,hard

AUTHOR

John W. Layman, Jul 16 2004

EXTENSIONS

a(5) from Eric W. Weisstein, Dec 28 2013

a(6)-a(7) from Andrew Howroyd, Feb 29 2016

STATUS

approved

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Last modified September 21 13:37 EDT 2019. Contains 327253 sequences. (Running on oeis4.)