A013579 Number of inequivalent Mendelsohn triple systems (MTS(n,1)) of order n and index 1.

0, 0, 1, 1, 0, 0, 3, 0, 18, 143

Offset

1,7

References

C. J. Colbourn and J. H. Dinitz, 2007. The Handbook of Combinatorial Designs, 2nd edition, CRC Press, Boca Raton (FL).

C. J. Colbourn and A. Rosa, 1999. Triple systems, Claredon Press, Oxford.

C. J. Colbourn and A. Rosa, "Directed and Mendelsohn triple systems", in: Contemporary Design Theory: A Collection of Surveys (Ed. J. H. Dinitz and D. R. Stinson), pp. 97-136, John Wiley & Sons, New York, 1992.

E. Mendelsohn, "Mendelsohn Designs", Chapter IV.28 of The CRC Handbook of Combinatorial Designs (Ed. J. H. Dinitz and C. J. Colbourn), pp. 388-393, CRC Press, Boca Raton, 1996.

Links

Table of n, a(n) for n=1..10.

Crossrefs

Sequence in context: A127187 A057398 A361455 * A151814 A187804 A281554

Adjacent sequences: A013576 A013577 A013578 * A013580 A013581 A013582

Keyword

nonn,more,hard

Author

N. J. A. Sloane.

Extensions

a(10) corrected by Martin Kidd, Jul 01 2009, based on the value given by Colbourn and Rosa, 1999 and Colbourn and Dinizt, 2007.

Status

approved