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A053650
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Cototient function of n^2.
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9
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0, 2, 3, 8, 5, 24, 7, 32, 27, 60, 11, 96, 13, 112, 105, 128, 17, 216, 19, 240, 189, 264, 23, 384, 125, 364, 243, 448, 29, 660, 31, 512, 429, 612, 385, 864, 37, 760, 585, 960, 41, 1260, 43, 1056, 945, 1104, 47, 1536, 343, 1500, 969, 1456, 53, 1944, 825, 1792, 1197
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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a(n) = n*(n - phi(n)) = n^2 - n*phi(n) = Cototient(n^2) = A051953(A000290(n)).
For p prime, Cototient(p)=1 and a(p)=p.
Dirichlet g.f.: zeta(s-2)*(1 - 1/zeta(s-1)). - Ilya Gutkovskiy, Jul 26 2016
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MATHEMATICA
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PROG
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(Haskell)
(Sage) [n*(n - euler_phi(n)) for n in (1..60)] # G. C. Greubel, May 18 2019
(GAP) List([1..60], n-> n*(n- Phi(n)) ); # G. C. Greubel, May 18 2019
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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