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A070812 a(n)=Phi[P[n]]-P[Phi[n]]=A000010[A006530(n)]-A006530[A000010(n)] Value of Commutator[A000010, A006530] at n. 12
0, -1, 2, 0, 3, -1, -1, 2, 5, 0, 9, 3, 2, -1, 14, -1, 15, 2, 3, 5, 11, 0, -1, 9, -1, 3, 21, 2, 25, -1, 5, 14, 3, -1, 33, 15, 9, 2, 35, 3, 35, 5, 1, 11, 23, 0, -1, -1, 14, 9, 39, -1, 5, 3, 15, 21, 29, 2, 55, 25, 3, -1, 9, 5, 55, 14, 11, 3, 63, -1, 69, 33, -1, 15, 5, 9, 65, 2, -1, 35, 41, 3, 14, 35, 21, 5, 77, 1, 9, 11, 25, 23, 15, 0, 93, -1, 5 (list; graph; refs; listen; history; internal format)
OFFSET

3,3

FORMULA

a(n)=A070777(n)-A068211(n)

EXAMPLE

Cases of n when a(n)=1,-1,2 or 0 are listed in A070002, A070003, A070004, A007283 respectively. Further regular solutions: if a(n)=3, then n=7k, where k has prime divisors <7 if a(n)=5, then n=11k, where k has no prime divisors >=11, if a(n)=25, then mostly[not always! ] n=31k...

MATHEMATICA

pf[x_] := Part[Reverse[Flatten[FactorInteger[x]]], 2] Table[EulerPhi[pf[u]]-pf[EulerPhi[u]], {u, 3, 128}]

CROSSREFS

Cf. A000010, A006530, A070777, A068211, A070002-A070004, A007283.

Sequence in context: A113504 A124754 A047983 * A061865 A135818 A078804

Adjacent sequences:  A070809 A070810 A070811 * A070813 A070814 A070815

KEYWORD

sign

AUTHOR

Labos E. (labos(AT)ana.sote.hu), May 09 2002

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.