A091475 Decimal expansion of Catalan - Pi^2/16 + Pi*log(2)/4.

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

Table of n, a(n) for n=0..101.

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

Cf. A000796, A002162, A006752.

Sequence in context: A256782 A071832 A327121 * A197482 A292529 A370000

Adjacent sequences: A091472 A091473 A091474 * A091476 A091477 A091478

Keyword

nonn,cons

Author

Eric W. Weisstein, Jan 13 2004

Status

approved