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A335994
Decimal expansion of the number u such that the arclength on y = sin(x) from (0,0) to (u, sin u) is 1.
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
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
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 04 2020
STATUS
approved