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A103224 Norm of the totient function phi(n) for Gaussian integers. See A103222 and A103223 for the real and imaginary parts. +0
3
1, 2, 4, 8, 8, 8, 36, 32, 36, 16, 100, 32, 80, 72, 32, 128, 160, 72, 324, 64, 144, 200, 484, 128, 200, 160, 324, 288, 520, 64, 900, 512, 400, 320, 288, 288, 936, 648, 320, 256, 1088, 288, 1764, 800, 288, 968, 2116, 512, 1764, 400, 640, 640, 2000, 648, 800, 1152 (list; graph; listen)
OFFSET

1,2

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

MATHEMATICA

phi[z_] := Module[{f, k, prod}, If[Abs[z]==1, z, f=FactorInteger[z, GaussianIntegers->True]; If[Abs[f[[1, 1]]]==1, k=2; prod=f[[1, 1]], k=1; prod=1]; Do[prod=prod*(f[[i, 1]]-1)f[[i, 1]]^(f[[i, 2]]-1), {i, k, Length[f]}]; prod]]; Abs[Table[phi[n], {n, 100}]]^2

CROSSREFS

Sequence in context: A008496 A162794 A129280 this_sequence A078750 A054785 A123263

Adjacent sequences: A103221 A103222 A103223 this_sequence A103225 A103226 A103227

KEYWORD

nonn

AUTHOR

T. D. Noe (noe(AT)sspectra.com), Jan 26 2005

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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