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Search: id:A098886
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| A098886 |
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Number of nonisomorphic groups with prime power order p^m, m>1. |
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+0
2
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| 1, 2, 5, 2, 14, 2, 5, 51, 2, 267, 15, 2, 5, 2328, 2, 67, 56092, 2, 5, 2, 10494213, 2, 15, 504, 2, 2, 49487365422, 5, 2, 2, 2
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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H.-U.Besche, Number of isomorphism types of finite groups of given order
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FORMULA
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a(n)=A000001(A025475(n)).
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PROGRAM
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(MAGMA) /* Program returns -1 for an order o if the groups of that order are not contained in the Small Groups Library */ D := SmallGroupDatabase(); S := []; for o in [1..2047] do if (o eq 1 or IsPrimePower(o)) and not IsPrime(o) then if IsInSmallGroupDatabase(D, o) then a := numberOfSmallGroups(D, o); else a := -1; end if; Append(~S, a); end if; end for; S; /* Klaus Brockhaus, Mar 15 2007 */
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CROSSREFS
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Cf. A000001, A025475, A098885, A128604.
Sequence in context: A119764 A085020 A102469 this_sequence A089120 A019295 A055385
Adjacent sequences: A098883 A098884 A098885 this_sequence A098887 A098888 A098889
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KEYWORD
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nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Oct 14 2004
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EXTENSIONS
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a(30) corrected by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 15 2007
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