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A152077 Length of the trajectory of the map x->A003132(x) started at x=n^2 up to the end of its first period. 3
1, 8, 12, 8, 11, 16, 5, 12, 11, 2, 18, 13, 17, 17, 13, 11, 11, 11, 13, 9, 13, 14, 11, 11, 11, 19, 12, 5, 12, 12, 17, 14, 15, 17, 13, 14, 17, 6, 4, 9, 14, 14, 16, 17, 13, 9, 9, 11, 14, 11, 15, 14, 11, 14, 11, 14, 11, 7, 13, 16, 17, 12, 15, 7, 6, 4, 18, 15, 14, 5, 9, 10, 12, 16, 13, 15, 12, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
This accumulates the length of the "transient" or "pre-periodic" part of the trajectory started at n^2 plus the length of the first period.
LINKS
FORMULA
a(n) = A099645(n^2)+A031176(n^2) .
EXAMPLE
a(5)=11 since the trajectory starting at x=5^2 is 25, 29, 85, 89, 145, 42, 20, 4, 16, 37, 58 the next term 89 is already there.
a(10)= 2 since the trajectory starting at x=10^2 is 100,1 and the next term is again the 1.
a(11)= 18 because the trajectory is 121, 6, 36, 45, 41, 17, 50, 25, 29, 85, 89, 145, 42, 20, 4, 16, 37, 58, the next 89 is already there.
CROSSREFS
Sequence in context: A166173 A014453 A160862 * A215696 A325809 A173461
KEYWORD
nonn,base
AUTHOR
R. J. Mathar, Sep 16 2009
STATUS
approved

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Last modified April 18 13:48 EDT 2024. Contains 371780 sequences. (Running on oeis4.)