OFFSET
0,1
LINKS
Jonathan M. Borwein, Armin Straub, James Wan, and Wadim Zudilin, Densities of Short Uniform Random Walks p. 978, Canad. J. Math. 64(2012), 961-990.
Steven R. Finch, Mathematical Constants II, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018, p. 142.
FORMULA
W_4'(0) = (7/2)*zeta(3)/Pi^2.
W_4'(0) = integral over the square [0,Pi]x[0,Pi] of log(3+2*cos(x)+2*cos(y)+2*cos(x-y)) dx dy.
EXAMPLE
0.42627839881750579092352142659616687305800676962963510754160645802652945...
MATHEMATICA
RealDigits[(7/2)*Zeta[3]/Pi^2, 10, 105] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Jul 09 2014
STATUS
approved