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A060605
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a(n) = sum of lengths of the iteration sequences of Euler totient function from 1 to n.
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0
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1, 3, 6, 9, 13, 16, 20, 24, 28, 32, 37, 41, 46, 50, 55, 60, 66, 70, 75, 80, 85, 90, 96, 101, 107, 112, 117, 122, 128, 133, 139, 145, 151, 157, 163, 168, 174, 179, 185, 191, 198, 203, 209, 215, 221, 227, 234, 240, 246, 252, 259, 265, 272, 277, 284, 290, 296, 302
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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EXAMPLE
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Iteration sequences of Phi applied to 1, 2, 3, 4, 5, 6 give lengths 1, 2, 3, 3, 4, 3 with partial sums as follows:1, 3, 5, 9, 13, 16 resulting in first...6th terms here.
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MATHEMATICA
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Accumulate[Table[Length[NestWhileList[EulerPhi, n, #!=1&]], {n, 60}]] (* Harvey P. Dale, Mar 23 2024 *)
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PROG
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(PARI) a049108(n)=my(t=1); while(n>1, t++; n=eulerphi(n)); t;
vector(80, n, sum(j=1, n, a049108(j))) \\ Michel Marcus, Jan 06 2015
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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