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A140519 Number of "king tours" on an n X n board. 3
1, 3, 16, 2830, 2462064, 22853860116, 1622043117414624, 961742089476282321684 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Or, number of Hamiltonian cycles in the graph P_n X P_n.

If the direction of the tour is to be taken into account, the numbers for n > 1 must be multiplied by 2 (see A140521).

Computed using ZDDs (ZDD = "reduced, order, zero-suppressed binary decision diagram").

REFERENCES

D. E. Knuth, The Art of Computer Programming, Section 7.1.4, in preparation.

LINKS

Table of n, a(n) for n=1..8.

Index entries for sequences related to graphs, Hamiltonian

CROSSREFS

Cf. A001230, A140521.

Sequence in context: A080273 A096404 A111824 * A174506 A109216 A090478

Adjacent sequences:  A140516 A140517 A140518 * A140520 A140521 A140522

KEYWORD

nonn,walk

AUTHOR

D. E. Knuth, Jul 26 2008

STATUS

approved

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Last modified April 19 07:57 EDT 2014. Contains 240738 sequences.