cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A090091 Number of groups of order 3^n.

Original entry on oeis.org

1, 1, 2, 5, 15, 67, 504, 9310, 1396077, 5937876645
Offset: 0

Views

Author

Eamonn O'Brien, Jan 22 2004

Keywords

Examples

			G.f. = 1 + x + 2*x^2 + 5*x^3 + 15*x^4 + 67*x^5 + 504*x^6 + 9310*x^7 + ...
		

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 Millennium 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.
  • Marcus du Sautoy, Symmetry: A Journey into the Patterns of Nature, HarperCollins, 2008, p. 96.

Crossrefs

Programs

Formula

a(n) = A000001(3^n).

Extensions

a(7) from David Radcliffe, Feb 24 2010
a(8) from Muniru A Asiru, Oct 17 2018
a(9) from David Burrell, Sep 01 2023