cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A062297 Number of distinct Abelian subgroups of the symmetric group S_n.

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%I A062297 #20 Dec 23 2023 14:30:04
%S A062297 1,2,5,21,87,612,3649,35515,289927,377118,36947363,657510251,
%T A062297 7736272845
%N A062297 Number of distinct Abelian subgroups of the symmetric group S_n.
%H A062297 L. Naughton and G. Pfeiffer, <a href="http://arxiv.org/abs/1211.1911">Integer sequences realized by the subgroup pattern of the symmetric group</a>, arXiv:1211.1911 [math.GR], 2012-2013 and <a href="https://cs.uwaterloo.ca/journals/JIS/VOL16/Naughton/naughton2.html">J. Int. Seq. 16 (2013) #13.5.8</a>
%o A062297 (GAP)
%o A062297 # GAP 4.4
%o A062297 LoadPackage("sonata");;
%o A062297 for n in [2,3,4,5,6,7,8,9,10] do
%o A062297     p := SymmetricGroup(n) ;;
%o A062297     o := Order(p);
%o A062297     s := Subgroups(p);
%o A062297     f := Filtered(s, g -> IsAbelian(g));
%o A062297     a := Size(f);
%o A062297     Print(a," ") ;
%o A062297 od; # _R. J. Mathar_, May 24 2013
%Y A062297 Cf. A005432, A051625.
%K A062297 nonn,more
%O A062297 1,2
%A A062297 Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 02 2001
%E A062297 a(9)-a(13) added by Liam Naughton