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A060197 Start at n, repeatedly apply pi(x) until reach 0; a(n) = number of steps to reach 0. +0
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2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 (list; graph; listen)
OFFSET

0,1

FORMULA

Table[Length[FixedPointList[PrimePi, w]]-1, {w, 1, 1000}]

EXAMPLE

n=1000, the corresponding sequence of PrimePi-iteration is {1000,168,39,12,5,3,2,1,0}, whose the length is a(1000)=9. The numbers at which this sequence jumps from n to n+1 are A007097(n), terms of the primeth recurrence:1,2,3,5,11,31,127,709,5381,...

CROSSREFS

A007097, A000720.

Sequence in context: A088527 A030602 A133947 this_sequence A116487 A070546 A034586

Adjacent sequences: A060194 A060195 A060196 this_sequence A060198 A060199 A060200

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Mar 19 2001

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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