A063808 Spherical growth series for Z as generated by {2, 3}.

1, 4, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6

Offset

0,2

References

P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 152.

Avinoam Mann, How Groups Grow, London Mathematical Society Lecture Note Series, Vol. 335, Cambridge University Press, 2012; ISBN: 1107657504,9781107657502. See Example 6, page 3.

P. Wagreich, The growth function of a discrete group (Lecture Notes in Mathematics, Vol. 956, Group Actions and Vector Fields, 1982, Vol. 956, pp. 125-144). Springer Berlin Heidelberg. See Example (3.2).

Links

Table of n, a(n) for n=0..92.

Index entries for linear recurrences with constant coefficients, signature (1).

Formula

G.f.: (1+3*x+4*x^2-2*x^3)/(1-x).

Mathematica

PadRight[{1, 4, 8}, 100, 6] (* Paolo Xausa, Nov 14 2023 *)

Crossrefs

Cf. A308196 (partial sums).

Sequence in context: A177157 A081573 A201527 * A081455 A279160 A197290

Adjacent sequences: A063805 A063806 A063807 * A063809 A063810 A063811

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 20 2001

Status

approved