A333566 Decimal expansion of the integral_{x=0..Pi} sin(sin(x)) dx.

1, 7, 8, 6, 4, 8, 7, 4, 8, 1, 9, 5, 0, 0, 5, 2, 3, 3, 6, 6, 8, 7, 4, 2, 3, 6, 0, 1, 2, 5, 1, 9, 5, 7, 2, 9, 3, 7, 6, 1, 4, 8, 0, 4, 5, 6, 1, 2, 8, 6, 8, 3, 3, 1, 1, 9, 9, 9, 8, 8, 8, 0, 1, 2, 3, 0, 4, 9, 5, 4, 5, 8, 7, 4, 8, 3, 2, 5, 7, 8, 7, 9, 1, 8, 3, 9, 4, 9, 9, 0, 3, 5, 7, 7, 2, 2, 6, 0, 6, 3, 1, 9, 3, 7, 2

Offset

1,2

Comments

Used in the Help section of the built-in symbol "NIntegrate" in Mathematica as the first example although it runs the integration from 0 to 2 instead of from 0 to Pi, a half cycle or period.

To view the two curves sin(x) and sin(sin(x)), Plot[{Sin@x, Sin@Sin@x}, {x, 0, 2 Pi}] using Mathematica.

Links

Kelvin Voskuijl, Table of n, a(n) for n = 1..10000

Wolfram Mathematica, Built-In Symbol - NIntegrate.

Example

1.78648748195005233668742360125195729376148045612868331199988801230495458748...

Mathematica

RealDigits[ NIntegrate[ Sin@ Sin@ x, {x, 0, Pi}, PrecisionGoal -> 111, WorkingPrecision -> 128], 10, 111][[1]]
(* Alternative: *)
RealDigits[Pi*StruveH[0, 1], 10, 120][[1]] (* Vaclav Kotesovec, Jul 20 2026 *)

Prog

(PARI) intnum(x=0, Pi, sin(sin(x))) \\ Michel Marcus, May 13 2020

Crossrefs

Cf. A397310.

Sequence in context: A143300 A303985 A242816 * A093827 A388194 A380689

Adjacent sequences: A333563 A333564 A333565 * A333567 A333568 A333569

Keyword

cons,nonn,changed

Author

Robert G. Wilson v, May 10 2020

Status

approved