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Dirichlet convolution of d(n) (number of divisors of n) with primes (with 1).
1

%I #8 Mar 01 2019 08:07:07

%S 1,4,5,12,9,25,15,37,28,45,31,86,39,75,67,109,55,143,63,158,107,139,

%T 81,264,106,179,152,248,109,319,115,308,199,251,183,484,153,287,247,

%U 472,175,505,183,448,356,363,201,747,252,491,345,562,241,704,327,712,395

%N Dirichlet convolution of d(n) (number of divisors of n) with primes (with 1).

%o (PARI) pbc(n) = if (n==1, 1, prime(n-1));

%o a(n) = sumdiv(n, d, numdiv(d)*pbc(n/d)); \\ _Michel Marcus_, Feb 28 2019

%Y Cf. A000005, A008578.

%K nonn

%O 1,2

%A _Erich Friedman_