A329445 - OEIS

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A329445

Dirichlet inverse of A328745.

1, -2, -3, 1, -5, 6, -7, 0, 3, 10, -11, -3, -13, 14, 15, 0, -17, -6, -19, -5, 21, 22, -23, 0, 10, 26, -1, -7, -29, -30, -31, 0, 33, 34, 35, 3, -37, 38, 39, 0, -41, -42, -43, -11, -15, 46, -47, 0, 21, -20, 51, -13, -53, 2, 55, 0, 57, 58, -59, 15, -61, 62, -21, 0, 65, -66, -67, -17

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Signed version of A182938.

LINKS

Table of n, a(n) for n=1..68.

FORMULA

Multiplicative with a(p^e) = (-1)^e*binomial(p,e) for prime p and e >= 0.

Dirichlet g.f.: Sum_{n>0} a(n)/n^s = Product_{p prime} (1-p^(-s))^p.

a(n) = A182938(n) * A008836(n) for n > 0.

PROG