

A034383


Number of labeled groups.


5



1, 2, 3, 16, 30, 480, 840, 22080, 68040, 1088640, 3991680, 259459200, 518918400, 16605388800, 163459296000, 10353459916800, 22230464256000, 1867358997504000, 6758061133824000, 648773868847104000, 5474029518397440000, 122618261212102656000
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OFFSET

1,2


LINKS

Stephen A. Silver, Table of n, a(n) for n = 1..255
H.U. Besche, The Small Groups library
Index entries for sequences related to enumerating groups.


FORMULA

a(n) = n * A058163(n).


PROG

(GAP) A034383 := function(n) local fn, sum, k; fn := Factorial(n); sum := 0; for k in [1 .. NrSmallGroups(n)] do sum := sum + fn / Size(AutomorphismGroup(SmallGroup(n, k))); od; return sum; end; # Stephen A. Silver, Feb 10 2013


CROSSREFS

Cf. A000001, A034381, A034382, A058157, A058163.
Sequence in context: A085734 A302837 A034382 * A072684 A073633 A012357
Adjacent sequences: A034380 A034381 A034382 * A034384 A034385 A034386


KEYWORD

nonn


AUTHOR

Christian G. Bower


EXTENSIONS

More terms from Stephen A. Silver, Feb 10 2013


STATUS

approved



