A120488 Number of nonisomorphic perfect 1-factorizations of complete graph K_{2n}.

1, 1, 1, 1, 1, 5, 23, 3155

Offset

1,6

References

CRC Handbook Combin. Designs, p. 664.

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.

Petrenyuk, L. and Petrenyuk, A.; Intersection of Perfect One-Factorizations of Complete Graphs, Cybernetics 16 (1980), 6-9.

Wallis, W. D.; 1-Factorizations of complete graphs, pp. 593-631 in J. H. Dinitz and D R. Stinson, Contemporary Design Theory, Wiley, 1992.

Links

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

Jeffrey H. Dinitz and David K. Garnick, There are 23 Nonisomorphic Perfect One-Factorizations of K_{14}, J. Combin. Des. 4 (1996), no. 1, 1-3.

Wallis, W. D.; One-factorization of a graph, in Encyclopaedia of Mathematics (ed. Hazewinkel, Michiel), Springer-Verlag, 2002.

Crossrefs

Cf. A000438, A000474, A120489.

Sequence in context: A177134 A199361 A199586 * A309210 A345880 A345713

Adjacent sequences: A120485 A120486 A120487 * A120489 A120490 A120491

Keyword

nonn,more

Author

N. J. A. Sloane, Jul 22 2006

Extensions

Additional references from David Garnick (dgarnick(AT)gmail.com), Jan 17 2007

Edited by N. J. A. Sloane at the suggestion of Ian Wanless, Apr 01 2008

a(8) from Ian Wanless, Oct 20 2019

Status

approved