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A067740 a(n) is the smallest number m such that Sigma[m]/Sigma[Phi[m]]=n. +0
1
1, 14, 2, 6, 118740, 2915640 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n)=Min{x; A000203(x)/A000203[A000010(x)]=n}

EXAMPLE

n=6, a(6)=2915640, Sigma[2915640]=11793600,Phi[2915640]=608256, Sigma[608256]=1965600 and 11793600=6*1965600.

MATHEMATICA

g[x_] := DivisorSigma[1, x]/ DivisorSigma[1, EulerPhi[x]] {m=10, up=200000} a = Table[0, {m} ]; Do[ b = g[n]; If[b < m+1 && a[[b]] == 0, a[[b]] = n], {n, 1, up} ]; a

CROSSREFS

Cf. A000203, A000010, A067385.

Sequence in context: A040194 A107834 A070701 this_sequence A037923 A040195 A040189

Adjacent sequences: A067737 A067738 A067739 this_sequence A067741 A067742 A067743

KEYWORD

more,nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jan 29 2002

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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