OFFSET
1,1
COMMENTS
Also, decimal expansion of 17/(22*Pi)*integral_{t=0..Pi} ((Pi-t)^2*log(2*sin(t/2))^2 dt.
LINKS
D. H. Bailey and J. M. Borwein, Euler's Multi-Zeta Sums
FORMULA
Equals 17*zeta(4)/4 = 17*Pi^4/360 = (17/4) * sum_{k=1..infinity} 1/k^4.
EXAMPLE
4.5998737432723373139430157102999635867926915456545893...
MATHEMATICA
17*Pi^4/360 // N[#, 100] & // RealDigits // First
PROG
(PARI) 17*Pi^4/360 \\ Charles R Greathouse IV, Sep 02 2024
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Mar 28 2013
EXTENSIONS
Offset corrected by Rick L. Shepherd, Jan 01 2014
STATUS
approved