A335995 Decimal expansion of the number u such that the arclength on y = sin(x) from (0,0) to (u, sin u) is Pi.

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

Offset

1,1

Links

Table of n, a(n) for n=1..86.

Example

u = 2.6522773235669243608033896388048381856...

Mathematica

x = x /. FindRoot[Sqrt[2] EllipticE[x, 1/2] == Pi, {x, 0}, WorkingPrecision -> 200]
RealDigits[x][[1]]

Crossrefs

Cf. A335994.

Sequence in context: A356476 A175995 A271533 * A304585 A336074 A021381

Adjacent sequences: A335992 A335993 A335994 * A335996 A335997 A335998

Keyword

nonn,cons

Author

Clark Kimberling, Jul 04 2020

Status

approved