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A186517 Number of indecomposable groups of order 2^n 0
0, 1, 1, 3, 8, 34, 201, 2000, 53397, 10435175, 49476809194 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

A group is indecomposable if it cannot be expressed as a non-trivial direct product. The trivial group is excluded by convention.

Inverse Euler transform of A000679.

LINKS

Table of n, a(n) for n=0..10.

FORMULA

a(n) = A090751(2^n).

EXAMPLE

For n = 3, the a(3) = 3 indecomposable groups of order 2^3 = 8 are cyclic, dihedral and quaternion (C_8, D_8, Q_8)

CROSSREFS

Cf. A000679.

Sequence in context: A001120 A117722 A024419 * A094448 A063805 A125046

Adjacent sequences:  A186514 A186515 A186516 * A186518 A186519 A186520

KEYWORD

nonn

AUTHOR

Nick Krempel, Feb 22 2011

STATUS

approved

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Last modified May 22 05:49 EDT 2013. Contains 225511 sequences.