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A060652 Orders of non-Abelian groups. +0
4
6, 8, 10, 12, 14, 16, 18, 20, 21, 22, 24, 26, 27, 28, 30, 32, 34, 36, 38, 39, 40, 42, 44, 46, 48, 50, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 66, 68, 70, 72, 74, 75, 76, 78, 80, 81, 82, 84, 86, 88, 90, 92, 93, 94, 96, 98, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 116 (list; graph; listen)
OFFSET

1,1

COMMENT

Because of the existence of a non-Abelian dihedral group of order 2n for each n>2 all the even numbers >= 6 are in this sequence.

What exactly are these numbers? - N. J. A. Sloane (njas(AT)research.att.com), Oct 09 2006

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

FORMULA

Let the prime factorization of n be p1^e1...pr^e^r. Then n is in this sequence if ei>2 for some i or pi^k = 1 (mod pj) for some i and j and 1 <= k <= ei. - T. D. Noe (noe(AT)sspectra.com), Mar 25 2007

CROSSREFS

Complement of A051532.

Sequence in context: A064176 A000379 A065985 this_sequence A020739 A064466 A026286

Adjacent sequences: A060649 A060650 A060651 this_sequence A060653 A060654 A060655

KEYWORD

nonn

AUTHOR

Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 17 2001

EXTENSIONS

More terms from T. D. Noe (noe(AT)sspectra.com), Mar 11 2007

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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