A389103 - OEIS

A389103

Decimal expansion of Sum_{n>=1} 1/zeta(1-2n).

1, 3, 7, 2, 6, 2, 5, 6, 6, 8, 5, 6, 1, 4, 1, 1, 4, 8, 1, 8, 3, 3, 7, 5, 7, 4, 7, 8, 9, 8, 3, 9, 5, 0, 1, 6, 5, 4, 4, 9, 7, 9, 8, 8, 4, 7, 8, 3, 5, 4, 7, 9, 0, 0, 1, 5, 7, 3, 7, 9, 5, 4, 6, 5, 8, 0, 4, 2, 6, 2, 2, 1, 4, 7, 3, 5, 0, 2, 3, 3, 6, 0, 7, 4, 9, 2, 2, 6, 7, 9

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..90.

Wikipedia, Zeta function at negative integers

FORMULA

Equals -2*Sum_{n>=1} n/B_2n.

Equals Sum_{n>=1} zeta(-n)^((-1)^n).

Equals Sum_{n>=1} (-1)^n*n*(2*Pi)^(2*n) / (Gamma(2*n+1)*zeta(2*n)).

EXAMPLE

1.3726256685614114818...