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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 Table of n, a(n) for n=1..78. 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 Cf. A031176, A160862. Sequence in context: A166173 A014453 A160862 * A215696 A325809 A173461 Adjacent sequences: A152074 A152075 A152076 * A152078 A152079 A152080 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.)