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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 (list; graph; refs; listen; history; text; internal format)
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: A102882 A085734 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

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Last modified July 20 14:50 EDT 2017. Contains 289625 sequences.