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A140521 Number of directed "king tours" on an n X n board. 4
1, 6, 32, 5660, 4924128, 45707720232, 3244086234829248, 1923484178952564643368 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Or, number of directed Hamiltonian cycles in the graph P_n X P_n.
If the direction of the tour is not taken into account, the numbers for n > 1 must be halved (see A140519).
Computed using ZDDs (ZDD = "reduced, order, zero-suppressed binary decision diagram").
REFERENCES
Donald E. Knuth, The Art of Computer Programming, Vol. 4, fascicle 1, section 7.1.4, p. 117, Addison-Wesley, 2009.
LINKS
Eric Weisstein's World of Mathematics, Hamiltonian Cycle
Eric Weisstein's World of Mathematics, King Graph
CROSSREFS
Sequence in context: A290790 A222749 A132548 * A171141 A069065 A073343
KEYWORD
nonn,walk
AUTHOR
Don Knuth, Jul 26 2008
STATUS
approved

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Last modified March 19 07:40 EDT 2024. Contains 370958 sequences. (Running on oeis4.)