Search: id:A007321 Results 1-1 of 1 results found. %I A007321 M4048 %S A007321 0,1,6,2,5,2,13,7,10,7,4,7,6,3,9,3,9,3,12,3,9,6,9,6,19,6,9,6,9,6,16,3, 5, %T A007321 3,8,3,16,3,5,3,14,3,11,14,11,14,5,14,14,14,14,14,5,14,5,14,11,8,11,8, 8, %U A007321 8,8,8,11,8,11,8,8,8,8,8,21,11,21,11,8,11,8,11,19,11,11,11,8,11,11,11, 11 %N A007321 Number of steps needed for modified juggler sequence (A094685) started at n to reach 1. %C A007321 It is not known if every starting value eventually reaches 1. %D A007321 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %D A007321 C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, p. 233. %H A007321 Richard J Mathar, Table of n, a(n) for n = 1..836 %H A007321 H. J. Smith, Juggler Sequence %p A007321 f:=proc(n) if n mod 2 = 0 then RETURN(round(sqrt(n))) else RETURN(round(n^(3/ 2))); fi; end; [Corrected by Richard J Mathar, Jul 28 2007] %t A007321 mjs[n_] := If[EvenQ[n], Round[Sqrt[n]], Round[Sqrt[n^3]]]; f[n_] := Length[NestWhileList[mjs, n, # != 1 &]] - 1; Table[ f[n], {n, 90}] %Y A007321 Cf. A094685, A007320, A094683. %Y A007321 Sequence in context: A033939 A021020 A007320 this_sequence A062828 A124457 A063720 %Y A007321 Adjacent sequences: A007318 A007319 A007320 this_sequence A007322 A007323 A007324 %K A007321 nonn,easy %O A007321 1,3 %A A007321 N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com), Mira Bernstein (mira(AT)math.berkeley.edu) %E A007321 More terms from N. J. A. Sloane (njas(AT)research.att.com), Jun 09, 2004. Search completed in 0.001 seconds