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A073725 EulerPhi of n-th composite number equals a(n)-th composite number; a(1)=a(2)=0. +0
1
0, 0, 1, 2, 1, 1, 2, 3, 3, 2, 3, 6, 5, 3, 11, 6, 10, 6, 3, 9, 11, 9, 14, 6, 10, 14, 9, 6, 11, 14, 13, 9, 28, 11, 20, 14, 10, 27, 14, 24, 18, 9, 19, 24, 20, 32, 11, 20, 29, 14, 14, 24, 27, 24, 42, 14, 20, 37, 27, 14, 45, 28, 39, 27, 14, 51, 29, 42, 31, 51, 20, 28, 42, 27, 20, 32, 32 (list; graph; listen)
OFFSET

1,4

FORMULA

See program.

EXAMPLE

Phi of 25th composite number = 10th composite number: n=25: A002808[25]=38, Phi[38]=18=A002808(10) so a(25)=10.

MATHEMATICA

c[x_] := FixedPoint[x+PrimePi[ # ]+1&, x]; G[x_] := x-PrimePi[x]-1; a(n)=G[EulerPhi[c[n]]]

CROSSREFS

Cf. A000010, A002808, A062298.

Sequence in context: A128495 A054989 A051631 this_sequence A055223 A054482 A092543

Adjacent sequences: A073722 A073723 A073724 this_sequence A073726 A073727 A073728

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Aug 05 2002

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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