OFFSET
0,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Definite Integral
FORMULA
Equals Integral_{t=0..Pi/4} t^3/sin(t)^2 dt.
EXAMPLE
0.342947449816831475186873451421175415636919316094040413221830284...
MATHEMATICA
RealDigits[(48*Catalan*Pi - Pi^3 + Pi^2*Log[64] - 105*Zeta[3])/64, 10, 100][[1]] (* G. C. Greubel, Aug 25 2018 *)
PROG
(PARI) default(realprecision, 100); (48*Catalan*Pi - Pi^3 + Pi^2*log(64) - 105*zeta(3))/64 \\ G. C. Greubel, Aug 25 2018
(Magma) SetDefaultRealField(RealField(100)); R:=RealField(); L:=RiemannZeta(); (48*Catalan(R)*Pi(R) - Pi(R)^3 + Pi(R)^2*Log(64) - 105*Evaluate(L, 3))/64; // G. C. Greubel, Aug 25 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jan 13 2004
STATUS
approved