A240964 - OEIS

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A240964

Decimal expansion of Sum_{n>=1} n/sinh(n*Pi).

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

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OFFSET

0,2

COMMENTS

Prudnikov (p. 721, section 5.3.5, formula 1) has a typo, Gamma(1/4)^4 is correct, not Gamma(1/4)^2. - Vaclav Kotesovec, May 19 2022

REFERENCES

A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 1 (Overseas Publishers Association, Amsterdam, 1986).

LINKS

Table of n, a(n) for n=0..100.

FORMULA

Gamma(1/4)^4/(32*Pi^3) - 1/(4*Pi).

EXAMPLE