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A086468
Decimal expansion of 2*zeta(3)/5.
4
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.
Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, p. 43.
LINKS
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 *)
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
KEYWORD
nonn,cons,changed
AUTHOR
Eric W. Weisstein, Jul 21 2003
STATUS
approved