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A331314
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Dirichlet convolution of the identity function with the reduced totient function.
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0
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1, 3, 5, 8, 9, 15, 13, 18, 21, 27, 21, 38, 25, 39, 41, 40, 33, 63, 37, 68, 59, 63, 45, 84, 65, 75, 81, 98, 57, 123, 61, 88, 95, 99, 105, 156, 73, 111, 113, 150, 81, 177, 85, 158, 165, 135, 93, 184, 133, 195
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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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MATHEMATICA
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a[n_] := DivisorSum[n, # * CarmichaelLambda[n/#] &]; Array[a, 50] (* Amiram Eldar, Jan 13 2020 *)
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PROG
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(PARI) a(n) = sumdiv(n, d, d * lcm(znstar(n/d)[2])); \\ Daniel Suteu, Jan 13 2020
(Magma) [1] cat [&+[d*CarmichaelLambda(n div d):d in Set(Divisors(n)) diff {n}]+n:n in [2..60]]; // Marius A. Burtea, Jan 14 2020
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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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