OFFSET
0,2
REFERENCES
George Boros and Victor H. Moll, Irresistible integrals, Cambridge University Press (2006), Chapter 13 A Master Formula, p. 250.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Beta Function.
FORMULA
Equals Integral_{x=0..1} (x^2*(1 + x^2))/(1 + x^2 + x^4)^2 dx.
Equals beta(3/2, 1/2)/(6*sqrt(3)), where 'beta' is Euler's beta function.
Equals Integral_{x>=0} 1/(x^2 + 3)^2 dx. - Amiram Eldar, Nov 16 2021
EXAMPLE
0.15114994701951815421617318813684631102367218734106171463082374461567693176...
MATHEMATICA
RealDigits[Pi/(12*Sqrt[3]), 10, 105] // First
PROG
(PARI) Pi/sqrt(432) \\ Charles R Greathouse IV, Sep 28 2022
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Jul 09 2014
STATUS
approved