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A195733
Number of groups of order p#, where p# is the n-th primorial.
1
1, 2, 4, 12, 36, 144, 288, 1440, 3840, 9216, 120384, 700416, 5455872, 65015808, 188018688, 439805952, 1098528768, 31016134656, 324642484224, 12673570111488, 75959807901696, 1301903865544704, 2870722110554112, 32326598156353536, 193916357676367872
OFFSET
1,2
COMMENTS
Used as an example in the Mathematica Help file for the function: FiniteGroupCount.
LINKS
Eric Weisstein's World of Mathematics, Finite Group
FORMULA
a(n) = A000001(A002110(n)). - Michel Marcus, Sep 14 2014
MATHEMATICA
f[n_] := FiniteGroupCount[Times @@ Prime@ Range@ n]; Array[f, 20]
CROSSREFS
Sequence in context: A268600 A187119 A062161 * A046993 A282165 A111942
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Sep 30 2011
EXTENSIONS
More terms from Eric M. Schmidt, Sep 14 2014
STATUS
approved