A349388 - OEIS

A349388

Dirichlet convolution of A000027 with A346234 (Dirichlet inverse of A003961), where A003961 is fully multiplicative with a(p) = nextprime(p).

1, -1, -2, -2, -2, 2, -4, -4, -6, 2, -2, 4, -4, 4, 4, -8, -2, 6, -4, 4, 8, 2, -6, 8, -10, 4, -18, 8, -2, -4, -6, -16, 4, 2, 8, 12, -4, 4, 8, 8, -2, -8, -4, 4, 12, 6, -6, 16, -28, 10, 4, 8, -6, 18, 4, 16, 8, 2, -2, -8, -6, 6, 24, -32, 8, -4, -4, 4, 12, -8, -2, 24, -6, 4, 20, 8, 8, -8, -4, 16, -54, 2, -6, -16, 4, 4, 4

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OFFSET

1,3

COMMENTS

Multiplicative because A000027 and A346234 are.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..20000

Index entries for primes, gaps between

Index entries for sequences computed from indices in prime factorization

FORMULA

a(n) = Sum_{d|n} d * A346234(n/d).

For all n >= 1, a(A000040(n)) = -A001223(n).