OFFSET
1,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Philippe Flajolet, Bruno Salvy, Euler Sums and Contour Integral Representations, Experimental Mathematics 7:1 (1998) page 27.
FORMULA
Equals Pi^2/6*zeta(3) + 15/2*zeta(5).
EXAMPLE
9.75426251387257056568232658991288183251025836292448029850226736133324...
MATHEMATICA
RealDigits[15/2*Zeta[5] + Zeta[2]*Zeta[3], 10, 101] // First
PROG
(PARI) default(realprecision, 100); Pi^2/6*zeta(3) + 15/2*zeta(5) \\ G. C. Greubel, Aug 31 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); L:=RiemannZeta(); Pi(R)^2/6*Evaluate(L, 3) + 15/2*Evaluate(L, 5); // G. C. Greubel, Aug 31 2018
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Jul 04 2014
STATUS
approved