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A352915
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Moebius transform of odd primes.
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0
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3, 2, 4, 6, 10, 8, 16, 12, 22, 16, 34, 18, 40, 26, 36, 36, 58, 28, 68, 36, 56, 44, 86, 44, 88, 58, 78, 56, 110, 48, 128, 78, 98, 86, 122, 66, 160, 94, 126, 94, 178, 76, 190, 108, 124, 120, 220, 94, 210, 114, 174, 132, 248, 112, 216, 148, 196, 162, 278, 96
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OFFSET
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1,1
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LINKS
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FORMULA
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Sum_{n>=1} a(n) * x^n / (1 - x^n) = Sum_{n>=1} prime(n+1) * x^n.
a(n) = Sum_{d|n} mu(n/d)* prime(d+1).
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MATHEMATICA
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Table[DivisorSum[n, MoebiusMu[n/#] Prime[# + 1] &], {n, 1, 60}]
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PROG
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(PARI) a(n) = sumdiv(n, d, moebius(n/d)* prime(d+1)); \\ Michel Marcus, Apr 27 2022
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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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