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 A007320 Number of steps needed for juggler sequence (A094683) started at n to reach 1. (Formerly M4047) 19
 0, 1, 6, 2, 5, 2, 4, 2, 7, 7, 4, 7, 4, 7, 6, 3, 4, 3, 9, 3, 9, 3, 9, 3, 11, 6, 6, 6, 9, 6, 6, 6, 8, 6, 8, 3, 17, 3, 14, 3, 5, 3, 6, 3, 6, 3, 6, 3, 11, 5, 11, 5, 11, 5, 11, 5, 5, 5, 11, 5, 11, 5, 5, 3, 5, 3, 11, 3, 14, 3, 5, 3, 8, 3, 8, 3, 19, 3, 8, 3, 10, 8, 8, 8, 11, 8, 10, 8, 11, 8, 11, 8, 11, 8, 8, 8, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS It is not known if every starting value eventually reaches 1. REFERENCES C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, p. 232. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Giovanni Resta, Table of n, a(n) for n = 1..10000 H. J. Smith, Juggler Sequence Eric Weisstein's World of Mathematics, Juggler Sequence Wikipedia, Juggler sequence R. G. Wilson, V, Letter to N. J. A. Sloane, Sep. 1992 EXAMPLE The trajectory of 1 is 3, 5, 11, 36, 6, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ... so a(3) = 6. MAPLE A007320 := proc(n)     local a, ntrack;     a := 0 ;     ntrack := n ;     while ntrack > 1 do         ntrack := A094683(ntrack) ;         a := a+1 ;     end do:     return a; end proc: # R. J. Mathar, Apr 19 2013 MATHEMATICA js[n_] := If[ EvenQ[n], Floor[ Sqrt[n]], Floor[ Sqrt[n^3]]]; f[n_] := Length[ NestWhileList[js, n, # != 1 &]] - 1; Table[ f[n], {n, 99}] (* Robert G. Wilson v, Jun 10 2004 *) CROSSREFS Cf. A007321, A094683, A094698, A094679, A093685, A094716. Sequence in context: A033939 A021020 A215578 * A199734 A007321 A062828 Adjacent sequences:  A007317 A007318 A007319 * A007321 A007322 A007323 KEYWORD nonn AUTHOR EXTENSIONS Corrected and extended by Jason Earls, Jun 09 2004 STATUS approved

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Last modified December 13 00:17 EST 2017. Contains 295954 sequences.