|
Search: id:A091268
|
|
|
| A091268 |
|
A061685 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 for that map. |
|
+0
1
|
|
| 1, 4, 99, 6272, 876725, 232419936, 105471170140, 76095730062464, 82555139387847312, 128928209221144677400, 279860608037771819829980, 820360089598849358326307904, 3169977309466844379463315722484
(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 A061685, then a(n)=(1/n)*Sum_{d|n}mu(d)b(n/d).
|
|
EXAMPLE
|
b(1)=1,b(2)=9,b(3)=298. Hence a(3)=(1/3)(b(3)-b(1))=99.
|
|
CROSSREFS
|
Cf. A061685.
Sequence in context: A027638 A041275 A024384 this_sequence A017090 A029995 A052144
Adjacent sequences: A091265 A091266 A091267 this_sequence A091269 A091270 A091271
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Thomas Ward (t.ward(AT)uea.ac.uk), Feb 24 2004
|
|
|
Search completed in 0.002 seconds
|
