A389828 - OEIS

A389828

Decimal expansion of 15/8 + Pi/4 * coth(Pi) - zeta(2) - zeta(6).

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

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OFFSET

0,5

LINKS

Table of n, a(n) for n=0..99.

Michael I. Shamos, Shamos's Catalog of the Real Numbers, 2011, p. 29.

FORMULA

Equals 15/8 - Pi^2/6 - Pi^6/945 + Pi*coth(Pi)/4.

Equals 15/8 + A338815 - A013661 - A013664.

Equals Sum_{k>=2} 1/(k^10-k^6).

EXAMPLE

0.00105989490161501088009230093805452810206074196225633321...