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Search: id:A066086
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| 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 6, 8, 1, 2, 2, 2, 2, 4, 2, 2, 2, 2, 6, 2, 6, 2, 8, 2, 1, 4, 2, 24, 2, 2, 6, 8, 2, 2, 12, 2, 2, 8, 2, 2, 2, 2, 2, 8, 6, 2, 2, 8, 6, 4, 2, 2, 8, 2, 6, 4, 1, 12, 4, 2, 2, 4, 24, 2, 2, 2, 6, 8, 6, 12, 24, 2, 2, 2, 2, 2, 12, 4, 6, 8, 2, 2, 8, 8, 2, 4, 2, 24, 2, 2, 6, 4
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OFFSET
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1,3
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EXAMPLE
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Frequently equals A009223 (i.e. GCD of sigma and phi of n), but A066086 and A009223 are not identical.
n=12: GCD[sigma[n],phi[n]]>GCD[sigma[core(n)],Phi[core(n)]],
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MATHEMATICA
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ffi[x_] := Flatten[FactorInteger[x]] lf[x_] := Length[FactorInteger[x]] ba[x_] := Table[Part[ffi[x], 2*w-1], {w, 1, lf[x]}] cor[x_] := Apply[Times, ba[x]] g1[x_] := GCD[DivisorSigma[1, x], EulerPhi[x]] g2[x_] := GCD[DivisorSigma[1, cor[x]], EulerPhi[cor[x]]] Table[g2[w], {w, 1, 128}]
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CROSSREFS
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Cf. A048250, A023900, A000203, A007947, A000010, A009223, A066087.
Sequence in context: A099812 A068068 A092505 this_sequence A160520 A145866 A103318
Adjacent sequences: A066083 A066084 A066085 this_sequence A066087 A066088 A066089
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Dec 04 2001
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