|
| |
|
|
A060477
|
|
Number of orbits of length n in map whose periodic points are A048578.
|
|
3
| |
|
|
3, 1, 2, 3, 6, 9, 18, 30, 56, 99, 186, 335, 630, 1161, 2182, 4080, 7710, 14532, 27594, 52377, 99858, 190557, 364722, 698870, 1342176, 2580795, 4971008, 9586395, 18512790, 35790267, 69273666, 134215680, 260300986
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
REFERENCES
| Yash Puri and Thomas Ward, A dynamical property unique to the Lucas sequence, Fibonacci Quarterly, Volume 39, Number 5 (November 2001), pp. 398-402.
|
|
|
LINKS
| Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.
|
|
|
FORMULA
| If b(n) is the n-th term of A048578, then a(n)=(1/n)* Sum_{d|n}\mu(d)a(n/d)
|
|
|
EXAMPLE
| a(3)=2 since the 3rd term of A048578 is 9 and the first term is 3.
|
|
|
CROSSREFS
| A048578.
Cf. A001037, A059966 (both nearly identical to this sequence).
Cf. A093210.
Sequence in context: A078350 A078719 A087227 * A175945 A080890 A016468
Adjacent sequences: A060474 A060475 A060476 * A060478 A060479 A060480
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Thomas Ward (t.ward(AT)uea.ac.uk)
|
| |
|
|
