OFFSET
1,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..1000
J. M. Borwein, I. J. Zucker and J. Boersma, The evaluation of character Euler double sums, The Ramanujan Journal, April 2008, Volume 15, Issue 3, pp 377-405, see p. 13.
FORMULA
J_4 = Catalan*Pi^3 - 7*i*Pi^5/480 - 24*i*Pi*PolyLog(4, -i) + (93*zeta(5))/2.
Also equals Catalan*Pi^3 + (1/64)*(Pi*(PolyGamma(3, 3/4) - PolyGamma(3, 1/4)) + 2976*Zeta(5));
EXAMPLE
2.05316073148059166895654129602651136685655884457239569438518892765...
MATHEMATICA
J4 = Catalan*Pi^3 - 7*I*Pi^5/480 - 24*I*Pi*PolyLog[4, -I] + 93*Zeta[5]/2; RealDigits[J4 // Re, 10, 102] // First
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Jean-François Alcover, Aug 08 2015
STATUS
approved