A335994 Decimal expansion of the number u such that the arclength on y = sin(x) from (0,0) to (u, sin u) is 1.

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

Offset

0,1

Links

Table of n, a(n) for n=0..85.

Example

u = 0.7383304358144666586839682881995607989744250...

Mathematica

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

Crossrefs

Cf. A335995.

Sequence in context: A111197 A372778 A245645 * A115411 A019726 A011330

Adjacent sequences: A335991 A335992 A335993 * A335995 A335996 A335997

Keyword

nonn,cons

Author

Clark Kimberling, Jul 04 2020

Status

approved