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A000679 Number of groups of order 2^n.
(Formerly M1470 N0581)
+0
12
1, 1, 2, 5, 14, 51, 267, 2328, 56092, 10494213, 49487365422 (list; graph; listen)
OFFSET

0,3

REFERENCES

H.-U. Besche and B. Eick, Construction of Finite Groups, Journal of Symbolic Computation, Vol. 27, No. 4, Apr 15 1999, pp. 387-404.

H.-U. Besche and B. Eick, The Groups of Order at Most 1000 Except 512 and 768, Journal of Symbolic Computation, Vol. 27, No. 4, Apr 15 1999, pp. 405-413.

Hans Ulrich Besche; Bettina Eick; E. A. O'Brien, The groups of order at most 2000, Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 1-4.

Eick, Bettina; O'Brien, E. A.; Enumerating p-groups. Group theory. J. Austral. Math. Soc. Ser. A 67 (1999), no. 2, 191-205.

James Gleick, Faster, Vintage Books, NY, 2000 (see pp. 259-261).

James, R.; Newman, M. F.; and O'Brien, E. A. ``The Groups of Order 128.'' J. Algebra 129, 136-158, 1990.

M. Hall, Jr. and J. K. Senior, The Groups of Order 2^n (n <= 6). Macmillan, NY, 1964.

G. A. Miller, Determination of all the groups of order 64, Amer. J. Math., 52 (1930), 617-634.

Newman, M. F. and O'Brien, E. A.; A CAYLEY library for the groups of order dividing 128. Group theory (Singapore, 1987), 437-442, de Gruyter, Berlin-New York, 1989.

O'Brien, E. A. ``The Groups of Order 256.'' J. Algebra 143, 219-235, 1991.

Rodemich, Eugene, The groups of order 128. J. Algebra 67 (1980), no. 1, 129-142.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

M. Wild, The groups of order 16 made easy, Amer. Math. Monthly, 112 (No. 1, 2005), 20-31.

LINKS

H.-U. Besche, The Small Groups library

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to groups

CROSSREFS

Cf. A000001, A046058.

Sequence in context: A000109 A049338 A115275 this_sequence A081439 A052649 A122594

Adjacent sequences: A000676 A000677 A000678 this_sequence A000680 A000681 A000682

KEYWORD

nonn,hard,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

a(9) and a(10) found by Eamonn O'Brien.

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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