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A091475
Decimal expansion of Catalan - Pi^2/16 + Pi*log(2)/4.
0
8, 4, 3, 5, 1, 1, 8, 4, 1, 6, 8, 5, 0, 3, 4, 6, 3, 4, 0, 0, 2, 6, 2, 0, 0, 5, 1, 9, 9, 9, 5, 2, 8, 1, 5, 1, 6, 5, 1, 6, 8, 9, 0, 8, 6, 4, 2, 1, 4, 4, 4, 2, 9, 3, 6, 9, 7, 1, 1, 2, 5, 9, 6, 9, 0, 6, 5, 8, 7, 3, 5, 5, 6, 6, 9, 2, 3, 9, 9, 3, 8, 3, 9, 9, 3, 2, 7, 9, 1, 5, 5, 9, 6, 3, 7, 1, 3, 4, 8, 0, 2, 3
OFFSET
0,1
LINKS
Eric Weisstein's World of Mathematics, Definite Integral.
FORMULA
Equals Integral_{t=0..Pi/4} t^2/sin(t)^2 dt.
Equals Integral_{t=0..1} arctan(t)^2/t^2 dt. - Amiram Eldar, May 24 2021
EXAMPLE
0.84351...
MATHEMATICA
RealDigits[Integrate[t^2/Sin[t]^2, {t, 0, Pi/4}], 10, 120][[1]] (* Harvey P. Dale, Nov 19 2019 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jan 13 2004
STATUS
approved