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A001201
Number of Steiner triple systems (STS's) on 6n+1 or 6n+3 elements.
(Formerly M5214 N2268)
8
1, 1, 30, 840, 1197504000, 60281712691200, 1348410350618155344199680000
OFFSET
0,3
COMMENTS
To be precise, for n even, a(n) is the number of STS's on 3n+1 elements, and for n odd, a(n) is the number of STS's on 3n elements. - Franklin T. Adams-Watters, Apr 10 2010
REFERENCES
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 304.
CRC Handbook of Combinatorial Designs, 1996, p. 70.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Petteri Kaski and Patric R. J. Östergård, The Steiner triple systems of order 19, Math. Comp. 73 (2004), 2075-2092.
EXAMPLE
There are 1197504000 STS's on 13 elements.
CROSSREFS
Indexed by A047241. Cf. A030128, A030129, A051390.
Sequence in context: A049394 A143169 A256324 * A367333 A007850 A162833
KEYWORD
nonn,nice,hard,more
STATUS
approved