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A334844 Decimal expansion of arclength between (0,0) and (1,sin 1) on y = sin x. 0
1, 3, 1, 1, 4, 4, 2, 4, 9, 8, 2, 1, 5, 5, 4, 7, 0, 4, 5, 5, 4, 5, 4, 9, 4, 6, 5, 3, 7, 6, 1, 9, 6, 5, 1, 1, 7, 9, 4, 8, 9, 9, 0, 5, 0, 7, 6, 6, 1, 9, 2, 1, 8, 4, 2, 1, 5, 3, 4, 6, 1, 6, 0, 1, 5, 7, 4, 7, 2, 1, 0, 2, 9, 1, 6, 8, 5, 6, 6, 2, 5, 6, 6, 9, 3, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

arclength = sqrt(2)*E(1,1/2), where E = elliptic integral of the second kind.

EXAMPLE

arclength = 1.311442498215547045545494653761965117948990...

MATHEMATICA

s = Integrate[Sqrt[1 + D[Sin[x], x]^2], {x, 0, 1}]

r = N[s, 200]

RealDigits[r][[1]]

CROSSREFS

Cf. A333202, A334843.

Sequence in context: A171145 A271644 A262191 * A296457 A124020 A124234

Adjacent sequences:  A334841 A334842 A334843 * A334845 A334846 A334847

KEYWORD

nonn,cons,easy

AUTHOR

Clark Kimberling, Jun 15 2020

STATUS

approved

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Last modified August 4 20:11 EDT 2021. Contains 346455 sequences. (Running on oeis4.)