A060334 The sequence A006863 (shifted by one) seems to be counting the periodic points for a map. If so, then this is the sequence of the numbers of orbits of length n.

24, 108, 160, 60, 48, 10800, 0, 1980, 3136, 1272, 48, 5440, 0, 480, 11408, 1020, 0, 7671552, 0, 53448, 7200, 216, 48, 179520, 0, 480, 2128, 240, 48, 227138600, 0

Offset

1,1

Links

Table of n, a(n) for n=1..31.

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

T. Ward, Exactly realizable sequences

Formula

If b(n) is the (n+1)st term of A006863, then a(n)=(1/n)* Sum_{d|n}\mu(d)b(n/d)

Example

a(3) = 160 because the 4th term of A006863 is 504 and the 2nd term is 24, so there should be (504-24)/3 = 160 orbits of length 3.

Crossrefs

Cf. A006863, A060171, A060479.

Sequence in context: A013980 A100150 A305950 * A271915 A187163 A211577

Adjacent sequences: A060331 A060332 A060333 * A060335 A060336 A060337

Keyword

easy,nonn

Author

Thomas Ward, Apr 10 2001

Status

approved