

A060606


The nth term is the sum of lengths of iteration chains to get fixed points(=1) for the Euler totient function from 1 to n.


0



0, 1, 3, 5, 8, 10, 13, 16, 19, 22, 26, 29, 33, 36, 40, 44, 49, 52, 56, 60, 64, 68, 73, 77, 82, 86, 90, 94, 99, 103, 108, 113, 118, 123, 128, 132, 137, 141, 146, 151, 157, 161, 166, 171, 176, 181, 187, 192, 197, 202, 208, 213, 219, 223, 229, 234, 239, 244, 250, 255
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OFFSET

0,3


LINKS

Table of n, a(n) for n=0..59.
Paul Erdős, Andrew Granville, Carl Pomerance and Claudia Spiro, On the normal behavior of the iterates of some arithmetic functions, Analytic number theory, Birkhäuser Boston, 1990, pp. 165204.
Paul Erdos, Andrew Granville, Carl Pomerance and Claudia Spiro, On the normal behavior of the iterates of some arithmetic functions, Analytic number theory, Birkhäuser Boston, 1990, pp. 165204. [Annotated copy with Anumbers]
H. Shapiro, An arithmetic function arising from Phifunction, American Math. Monthly 50:1830.


FORMULA

a(n) = Sum_{j=1..n} A003434(j).


EXAMPLE

Iteration sequences of Phi applied to 1,2,3,4,5,6 give lengths 0,1,2,2,3,2 with partial sums as follows:0,1,3,5,8,10 resulting in the first six terms of this sequence. It differs by n from the analogous sums applied to A049108 sequence.


CROSSREFS

Cf. A003434, A049108.
Sequence in context: A004937 A245314 A186150 * A050504 A072150 A288575
Adjacent sequences: A060603 A060604 A060605 * A060607 A060608 A060609


KEYWORD

nonn


AUTHOR

Labos Elemer, Apr 13 2001


STATUS

approved



