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A054395 Numbers n such that there are precisely 2 groups of order n. 7
4, 6, 9, 10, 14, 21, 22, 25, 26, 34, 38, 39, 45, 46, 49, 55, 57, 58, 62, 74, 82, 86, 93, 94, 99, 105, 106, 111, 118, 121, 122, 129, 134, 142, 146, 153, 155, 158, 165, 166, 169, 175, 178, 183, 194, 195, 201, 202, 203, 205, 206, 207, 214, 218, 219, 226, 231, 237 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Givens characterizes this sequence, see Theorem 5. In particular, this sequence is ({n: A215935(n) = 1} INTERSECT A005117) UNION (A060687 INTERSECT A051532). - Charles R Greathouse IV, Aug 27 2012

LINKS

Table of n, a(n) for n=1..58.

H. U. Besche, B. Eick and E. A. O'Brien, The Small Groups Library

Clint Givens, Orders for which there exist exactly two groups (2006)

Gordon Royle, Numbers of Small Groups

CROSSREFS

Cf. A000001, A003277, A054395, A054396, A054397, A055561, A135850.

Sequence in context: A115652 A193305 A084759 * A142863 A132435 A108631

Adjacent sequences:  A054392 A054393 A054394 * A054396 A054397 A054398

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 21 2000

EXTENSIONS

More terms, formula from Christian G. Bower, May 25 2000

STATUS

approved

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Last modified May 25 12:01 EDT 2013. Contains 225647 sequences.