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A060606
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The n-th term is the sum of lengths of iteration chains to get fixed points(=1) for Euler totient function from 1 to n.
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0
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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; internal format)
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OFFSET
| 0,3
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REFERENCES
| P. Erdos, A. Granville, C. Pomerance and C. Spiro, On the normal behavior of the iterates of some arithmetic functions, in Analytic Number Theory, pp. 165-204. Birkhauser, Basel, 1990.
H. Shapiro, An arithmetic function arising from Phi-function. American Math.Monthly 50:18-30.
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LINKS
| P. Erdos, A. Granville, C. Pomerance and C. Spiro, On the normal behavior of the iterates of some arithmetic functions
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FORMULA
| a(n)=Apply[Plus, {A003434(j), j=1..n}]
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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.
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CROSSREFS
| A049108, A003434.
Sequence in context: A184733 A004937 A186150 * A050504 A072150 A091309
Adjacent sequences: A060603 A060604 A060605 * A060607 A060608 A060609
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Apr 13 2001
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