Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A000679
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
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

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

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

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, 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.

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

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

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.

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


AT&T Labs Research