A195733 Number of groups of order p#, where p# is the n-th primorial.

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 M. Schmidt, Table of n, a(n) for n = 1..50

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

Cf. A000001, A002110.

Sequence in context: A268600 A187119 A062161 * A046993 A282165 A111942

Adjacent sequences: A195730 A195731 A195732 * A195734 A195735 A195736

Keyword

nonn

Author

Robert G. Wilson v, Sep 30 2011

Extensions

More terms from Eric M. Schmidt, Sep 14 2014

Status

approved