The On-Line Encyclopedia of Integer Sequences (OEIS)

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A094804

Number of primes in the trajectory of n under the juggler map of A094683.
(history; published version)

#6 by Harvey P. Dale at Sun Sep 26 14:04:02 EDT 2021

STATUS

editing

approved

#5 by Harvey P. Dale at Sun Sep 26 14:03:58 EDT 2021

MATHEMATICA

Table[Count[NestWhileList[If[EvenQ[#], Floor[Sqrt[#]], Floor[(Sqrt[#])^3]]&, n, #>1&], _?PrimeQ], {n, 0, 120}] (* Harvey P. Dale, Sep 26 2021 *)

STATUS

approved

editing

#4 by N. J. A. Sloane at Fri Dec 15 17:36:39 EST 2017

AUTHOR

_Jason Earls (zevi_35711(AT)yahoo.com), _, Jun 11 2004

Discussion

Fri Dec 15

17:36

OEIS Server: https://oeis.org/edit/global/2722

#3 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

EXAMPLE

3 -> 5 -> 11 -> 36 -> 6 -> 2 -> 1, so in this trajectory 3, 5, 11, and 2 are primes, hence a(3) = 4.

KEYWORD

easy,nonn,new

#2 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009

KEYWORD

easy,nonn,new

AUTHOR

Jason Earls (jcearlszevi_35711(AT)cableoneyahoo.netcom), Jun 11 2004

#1 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004

NAME

Number of primes in the trajectory of n under the juggler map of A094683.

DATA

0, 0, 1, 4, 1, 3, 1, 2, 1, 2, 4, 2, 4, 2, 4, 2, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 3, 2, 3, 5, 3, 3, 3, 2, 3, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 1, 1, 3, 1, 4, 2, 3, 2, 3, 2, 2, 2, 1, 2, 4, 2, 3, 2, 1, 1, 1, 1, 6, 1, 4, 1, 2, 1, 3, 1, 1, 1, 3, 1, 4, 1, 1, 2, 3, 2, 4, 2, 3, 2, 3, 2, 5, 2, 5, 2, 2, 2, 4, 2, 1, 4, 3, 4, 2, 4

OFFSET

0,4

EXAMPLE

3 -> 5 -> 11 -> 36 -> 6 -> 2 -> 1, so in this trajectory 3, 5, 11, and 2 are primes, hence a(3) = 4.

KEYWORD

easy,nonn

AUTHOR

Jason Earls (jcearls(AT)cableone.net), Jun 11 2004

STATUS

approved