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0, 1, 1, 5, 1, 12, 1, 16, 7, 16, 1, 51, 1, 20, 18, 44, 1, 68, 1, 71, 22, 28, 1, 156, 11, 32, 33, 91, 1, 167, 1, 112, 30, 40, 26, 277, 1, 44, 34, 220, 1, 215, 1, 131, 110, 52, 1, 420, 15, 140, 42, 151, 1, 300, 34, 284, 46, 64, 1, 673, 1, 68, 138, 272, 38, 311, 1, 191, 54, 295, 1, 836, 1, 80, 162, 211, 38, 359, 1, 596
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OFFSET
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1,4
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COMMENTS
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Dirichlet convolution of A001615 (Dedekind psi function) with A069359.
Dirichlet convolution of A001221 (omega, number of distinct prime factors of n) with A322577.
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LINKS
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FORMULA
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MATHEMATICA
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Table[DivisorSum[n, PrimeNu[n/#]*Sum[DirichletConvolve[j, MoebiusMu[j]^2, j, #/d] EulerPhi[d], {d, Divisors[#]}]&], {n, 80}] (* Giorgos Kalogeropoulos, Oct 28 2021 *)
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PROG
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(PARI)
A001615(n) = if(1==n, n, my(f=factor(n)); prod(i=1, #f~, f[i, 1]^f[i, 2] + f[i, 1]^(f[i, 2]-1))); \\ After code in A001615
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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