login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A284987 Juggler sequence starting at 37. 0
37, 225, 3375, 196069, 86818724, 9317, 899319, 852846071, 24906114455136, 4990602, 2233, 105519, 34276462, 5854, 76, 8, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Many sources state that the Juggler sequence on 37 is, for example, "the first tall peak in its graph", and "the high water number of steps are" and so on, without specifically giving the actual sequence. As this specific instance is cited in various places as a specific instance, if not a special case, it seems worthy to document it here explicitly.
REFERENCES
David Wells, The Penguin Dictionary of Curious and Interesting Numbers, Revised Edition, Penguin Books, 1997, page 99.
LINKS
Eric Weisstein's World of Mathematics, Juggler Sequence
Calculated using the Juggler Sequence calculator found at Calculation for it
FORMULA
a(0) = 37, a(n) = floor(sqrt(a(n-1))): n even, a(n) = floor((sqrt(a(n-1)))^3): n odd.
PROG
(PARI) Juggler(n)={my(L=List([n])); while(n<>1, n=sqrtint(n^(2-(-1)^n)); listput(L, n)); Vec(L)}
{ Juggler(37) } \\ Andrew Howroyd, Apr 27 2020
CROSSREFS
Sequence in context: A052166 A142010 A230006 * A133958 A088544 A051463
KEYWORD
nonn,full,fini
AUTHOR
Matt Westwood, Apr 07 2017
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)