A034762 Dirichlet convolution of primes (with 1) with sigma(n).
1, 5, 7, 18, 13, 40, 21, 61, 44, 74, 41, 157, 51, 120, 113, 194, 71, 261, 81, 293, 179, 220, 103, 542, 162, 278, 256, 461, 137, 654, 145, 587, 331, 386, 321, 1033, 189, 440, 409, 1000, 215, 1032, 225, 829, 720, 554, 247, 1711, 384, 913, 567, 1035, 293, 1468
Offset: 1
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PARI
pbc(n) = if (n==1, 1, prime(n-1)); a(n) = sumdiv(n, d, pbc(d)*sigma(n/d)); \\ Michel Marcus, Feb 28 2019