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Number of Steiner Systems S(2,4,n) with nontrivial automorphism group.
1

%I #12 Nov 25 2018 13:10:37

%S 0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,16,0,0,4466,0,0,0,0,

%T 0,0,0,0

%N Number of Steiner Systems S(2,4,n) with nontrivial automorphism group.

%C a(37) is the first unknown value.

%H Colin Reid and Alex Rosa, <a href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/DS18">Steiner systems S(2,4,v) - a survey</a>, Electronic Journal of Combinatorics, Dynamic Survey DS18, Feb 01 2010.

%H E. Spence, <a href="https://doi.org/10.1002/(SICI)1520-6610(1996)4:4%3C295::AID-JCD6%3E3.0.CO;2-A">The complete classification of Steiner Systems S(2,4,25)</a>, J. Combin. Designs, 4 (1996), 295-300.

%H <a href="/index/St#Steiner">Index entries for sequences related to Steiner systems</a>

%Y Cf. A187567.

%K nonn,more

%O 1,25

%A _N. J. A. Sloane_, Mar 11 2011