A034773 Dirichlet convolution of d(n) (number of divisors of n) with primes (with 1).
1, 4, 5, 12, 9, 25, 15, 37, 28, 45, 31, 86, 39, 75, 67, 109, 55, 143, 63, 158, 107, 139, 81, 264, 106, 179, 152, 248, 109, 319, 115, 308, 199, 251, 183, 484, 153, 287, 247, 472, 175, 505, 183, 448, 356, 363, 201, 747, 252, 491, 345, 562, 241, 704, 327, 712, 395
Offset: 1
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Programs
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PARI
pbc(n) = if (n==1, 1, prime(n-1)); a(n) = sumdiv(n, d, numdiv(d)*pbc(n/d)); \\ Michel Marcus, Feb 28 2019