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A013579 Number of inequivalent Mendelsohn triple systems (MTS(n,1)) of order n and index 1. +0
2
0, 0, 1, 1, 0, 0, 3, 0, 18, 143 (list; graph; listen)
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.

CROSSREFS

Sequence in context: A009759 A127187 A057398 this_sequence A151814 A102840 A009353

Adjacent sequences: A013576 A013577 A013578 this_sequence A013580 A013581 A013582

KEYWORD

nonn,hard

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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