A086468 - OEIS

A086468

Decimal expansion of 2*zeta(3)/5.

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

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OFFSET

0,1

REFERENCES

Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.46.

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, p. 43.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..10000

Michael I. Shamos, A catalog of the real numbers, (2007). See p. 446.

Eric Weisstein's World of Mathematics, Central Binomial Coefficient.

FORMULA

Equals Sum_{n>=1} (-1)^(n-1)/(n^3*binomial(2*n,n)).

Equals 2*A002117/5. - R. J. Mathar, Feb 08 2009

Equals (1/10)*Sum_{k>=1} (30*k - 11)/((2*k - 1)*k^3*binomial(2*k,k)^2) (see Finch). - Stefano Spezia, Nov 01 2024

EXAMPLE

0.48082276126383771415989526460457999630599451693620...

MATHEMATICA

First[RealDigits[N[2*Zeta[3]/5, 100]]] (* Stefano Spezia, Nov 02 2018 *)