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A090091 Number of groups of order 3^n. 4
1, 1, 2, 5, 15, 67, 504, 9310 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

REFERENCES

G. Bagnera, La composizione dei Gruppi finiti il cui grado e la quinta potenza di un numero primo, Ann. Mat. Pura Appl. (3), 1 (1898), 137-228.

Hans Ulrich Besche, Bettina Eick and E. A. O'Brien, A Millenium Project: Constructing Small Groups, International Journal of Algebra and Computation, Vol. 12, No 5 (2002), 623-644.

W. Burnside, Theory of Groups of Finite Order, Dover, NY, 1955.

M. F. Newman, E. A. O'Brien and M. R. Vaughan-Lee, Groups and nilpotent Lie rings whose order is the sixth power of a prime, J. Algebra, 278 (2004), 383-401.

E. A. O'Brien and M. R. Vaughan-Lee, The groups of order p^7 for odd prime p. J. Algebra 292, 243 - 258 (2005) [From David Radcliffe (dradcliffe(AT)gmail.com), Feb 24 2010]

CROSSREFS

Cf. A000001, A000679, A090130, A090140.

Sequence in context: A166355 A031154 * A158079 A133645 A090130 A090140

Adjacent sequences:  A090088 A090089 A090090 * A090092 A090093 A090094

KEYWORD

nonn,hard

AUTHOR

Eamonn O'Brien (obrien(AT)math.auckland.ac.nz), Jan 22 2004

EXTENSIONS

a(7) from David Radcliffe (dradcliffe(AT)gmail.com), Feb 24 2010

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Last modified February 16 04:17 EST 2012. Contains 205860 sequences.