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

Offset

0,1

References

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

Links

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

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

Example

0.48082...

Mathematica

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

Prog

(PARI) 2*zeta(3)/5 \\ Michel Marcus, Nov 02 2018
(Magma) SetDefaultRealField(RealField(250)); L:=RiemannZeta();  2*Evaluate(L, 3)/5; // G. C. Greubel, Nov 02 2018

Crossrefs

Cf. A086465, A086466, A086467.

Sequence in context: A251992 A021212 A197284 * A125507 A198583 A244123

Adjacent sequences: A086465 A086466 A086467 * A086469 A086470 A086471

Keyword

nonn,cons

Author

Eric W. Weisstein, Jul 21 2003

Status

approved