A120489 Number of nonisomorphic perfect 1-factorizations of complete bipartite graph K_{n,n}.

1, 1, 1, 0, 1, 0, 2, 0, 37, 0

Offset

0,7

Comments

a(n) = 0 if n > 2 is even [Wanless].

References

Barbara M. Maenhaut, Perfect 1-factorizations of complete and complete bipartite graphs, talk given at 31st Australasian Conf. Combin. Math and Combin. Computing, Alice Springs, 2006.

Links

Table of n, a(n) for n=0..9.

I. M. Wanless, Perfect factorisations of bipartite graphs and Latin squares without proper subrectangles, Electron. J. Combin. 6 (1999) R9.

Crossrefs

Cf. A120488.

Sequence in context: A193052 A347900 A337817 * A145576 A178235 A214447

Adjacent sequences: A120486 A120487 A120488 * A120490 A120491 A120492

Keyword

nonn,more

Author

N. J. A. Sloane, Jul 22 2006

Extensions

Definition corrected by Ian Wanless, Apr 01 2008

Status

approved