A309431 a(n) = Sum_{k=2..p} (-1)^k * A240236(p, k), where p is n-th prime.

1, 1, 0, 2, 5, -2, -6, 1, 10, 7, 13, -11, -15, -5, 32, 0, 34, -23, 5, 30, -66, 33, 29, -18, -60, -17, 13, 69, -21, -65, 65, 17, 8, 50, -6, 24, -33, -23, 130, 13, 115, -93, 184, -132, 4, 48, -11, 31, 70, -99, -23, 192, -258, 154, -68, 155, -18, 16, -35, -101, -11

Offset: 1

Author

Seiichi Manyama, Aug 06 2019

Keywords

• sign
• base

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040, A240236, A309531.

Programs

PARI

{a(n) = sum(k=2, prime(n), (-1)^k*sumdigits(prime(n), k))}

Formula

a(n) = A309531(A000040(n)).