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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. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 18 21:39 EDT 2022. Contains 356215 sequences. (Running on oeis4.)