login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A007321 Number of steps needed for modified juggler sequence (A094685) started at n to reach 1.
(Formerly M4048)
9
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, 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, 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 (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. 233.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Richard J Mathar and Chai Wah Wu, Table of n, a(n) for n = 1..10000 n = 1..836 from Richard J Mathar

H. J. Smith, Juggler Sequence

R. G. Wilson, V, Letter to N. J. A. Sloane, Sep. 1992

MAPLE

f:=proc(n) if n mod 2 = 0 then RETURN(round(sqrt(n))) else RETURN(round(n^(3/2))); fi; end; # Corrected by R. J. Mathar, Jul 28 2007]

MATHEMATICA

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}]

CROSSREFS

Cf. A094685, A007320, A094683.

Sequence in context: A215578 A007320 A199734 * A062828 A124457 A258102

Adjacent sequences:  A007318 A007319 A007320 * A007322 A007323 A007324

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Robert G. Wilson v, Mira Bernstein

EXTENSIONS

More terms from N. J. A. Sloane, Jun 09 2004

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 22 21:09 EDT 2018. Contains 316505 sequences. (Running on oeis4.)