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A091112 A061686 appears to count the periodic points for a certain map. If so, then this is the sequence of the numbers of orbits of length n under that map. 0
1, 8, 513, 115272, 70162625, 95640604266 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.

J.-M. Sixdeniers, K. A. Penson and A. I. Solomon, Extended Bell and Stirling Numbers From Hypergeometric Exponentiation, J. Integer Seqs. Vol. 4 (2001), #01.1.4.

LINKS

Table of n, a(n) for n=1..6.

Thomas Ward, Exactly realizable sequences

FORMULA

If b(n) is the (n+1)th term of A061686, then a(n)=(1/n)*Sum_{d|n}mu(d)b(n/d).

EXAMPLE

b(1)=1,b(3)=1540, so a(3)=(1/3)(b(3)-b(1))=513

CROSSREFS

Cf. A061686.

Sequence in context: A067505 A173058 A107672 * A015480 A159532 A003397

Adjacent sequences:  A091109 A091110 A091111 * A091113 A091114 A091115

KEYWORD

nonn

AUTHOR

Thomas Ward (t.ward(AT)uea.ac.uk), Feb 24 2004

STATUS

approved

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Last modified November 23 18:50 EST 2014. Contains 249865 sequences.