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Moebius transform of odd primes.
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%I #33 Apr 27 2022 10:39:52

%S 3,2,4,6,10,8,16,12,22,16,34,18,40,26,36,36,58,28,68,36,56,44,86,44,

%T 88,58,78,56,110,48,128,78,98,86,122,66,160,94,126,94,178,76,190,108,

%U 124,120,220,94,210,114,174,132,248,112,216,148,196,162,278,96

%N Moebius transform of odd primes.

%F Sum_{n>=1} a(n) * x^n / (1 - x^n) = Sum_{n>=1} prime(n+1) * x^n.

%F a(n) = Sum_{d|n} mu(n/d)* prime(d+1).

%t Table[DivisorSum[n, MoebiusMu[n/#] Prime[# + 1] &], {n, 1, 60}]

%o (PARI) a(n) = sumdiv(n, d, moebius(n/d)* prime(d+1)); \\ _Michel Marcus_, Apr 27 2022

%Y Cf. A007444, A030013, A065091, A353078.

%K nonn

%O 1,1

%A _Ilya Gutkovskiy_, Apr 26 2022