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A060606 The n-th 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 (list; graph; refs; listen; history; text; internal format)
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. 165-204.

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. 165-204. [Annotated copy with A-numbers]

H. Shapiro, An arithmetic function arising from Phi-function, American Math. Monthly 50:18-30.

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

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Last modified February 18 01:55 EST 2019. Contains 320237 sequences. (Running on oeis4.)