OFFSET
0,2
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..1} t^2 * log(t)/((t^2 - 1)*(t^4 + 1)) dt.
Equals Sum_{k>=1} 1/A047621(k)^2. - Amiram Eldar, Apr 17 2022
EXAMPLE
0.18067126259065494279230812898167161533711457101829...
MATHEMATICA
RealDigits[Pi^2 (2-Sqrt[2])/32, 10, 120][[1]] (* Harvey P. Dale, Nov 18 2013 *)
PROG
(PARI) default(realprecision, 100); Pi^2*(2-sqrt(2))/32 \\ G. C. Greubel, Oct 01 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Pi(R)^2*(2-Sqrt(2))/32; // G. C. Greubel, Oct 01 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jan 13 2004
STATUS
approved