OFFSET
1,1
LINKS
G. E. Raynor, On Serret's integral formula, Bull. Amer. Math. Soc. Volume 45, Number 12, Part 1 (1939), 911-917
G. Rutledge, R. D. Douglass, Table of definite integrals, Am. Math. Monthly 45 (1938) 525
FORMULA
A_4 + 31*Pi^4/480, where A_4 is A214508.
EXAMPLE
6.453658463343410818962336051319129536065304116365260074634...
MATHEMATICA
A4 = (13*Pi^4)/288 + (1/6)*Pi^2*Log[2]^2 - Log[2]^4/6 - 4*PolyLog[4, 1/2] - (7/2)*Log[2]*Zeta[3]; RealDigits[A4 + 31*Pi^4/480, 10, 104] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Sep 12 2014
STATUS
approved