|
%I M5214 N2268 #28 Jun 17 2022 03:23:17
%S 1,1,30,840,1197504000,60281712691200,1348410350618155344199680000
%N Number of Steiner triple systems (STS's) on 6n+1 or 6n+3 elements.
%C 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
%D L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 304.
%D CRC Handbook of Combinatorial Designs, 1996, p. 70.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Petteri Kaski and Patric R. J. Östergård, <a href="http://dx.doi.org/10.1090/S0025-5718-04-01626-6">The Steiner triple systems of order 19</a>, Math. Comp. 73 (2004), 2075-2092.
%H <a href="/index/St#Steiner">Index entries for sequences related to Steiner systems</a>
%e There are 1197504000 STS's on 13 elements.
%Y Indexed by A047241. Cf. A030128, A030129, A051390.
%K nonn,nice,hard,more
%O 0,3
%A _N. J. A. Sloane_
|
