A060479 Number of orbits of length n in map whose periodic points come from A006954.

6, 12, 12, 0, 12, 444, 0, 60, 84, 24, 12, 0, 0, 60, 948, 0, 0, 106428, 0, 660, 84, 24, 12, 1800, 0, 60, 0, 0, 12, 1892316, 0, 0, 1956, 0, 132, 3838380, 0, 0, 84, 5400, 12, 80928, 0, 1380, 5712, 24, 0, 92820, 0, 660, 84, 0, 12, 3838380, 24, 29820, 0, 24, 0

Offset

1,1

Links

Table of n, a(n) for n=1..59.

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+2)-nd term of A006954, then a(n) = (1/n)* Sum_{d|n} mu(d) * b(n/d).

Crossrefs

A006954.

Sequence in context: A048726 A092461 A102809 * A028998 A285057 A040030

Adjacent sequences: A060476 A060477 A060478 * A060480 A060481 A060482

Keyword

easy,nonn

Author

Thomas Ward

Extensions

More terms from Sean A. Irvine, Nov 23 2022

Status

approved