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A091201 A061688 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
1, 32, 16281, 52293792, 692825815625, 28927809504181734 (list; graph; listen)
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

Thomas Ward, Exactly realizable sequences

FORMULA

If b(n) is the (n+1)th term of A061688, then a(n)=(1/n)*Sum_{d|n}mu(d)b(n/d)

EXAMPLE

b(1)=1,b(3)=48844, so a(3)=(1/3)(48844-1)=16281.

CROSSREFS

Cf. A061688.

Sequence in context: A069444 A062315 A159384 this_sequence A121913 A016877 A123393

Adjacent sequences: A091198 A091199 A091200 this_sequence A091202 A091203 A091204

KEYWORD

nonn

AUTHOR

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

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


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