A334843 Decimal expansion of arclength between (0,0) and (Pi/6,1/2) on y = sin x.

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

Offset

0,1

Links

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

Formula

arclength = (3 - sqrt(3))/2.

Example

arclength = 0.63397459621556135323627682924706381652859737309480968...

Mathematica

s = Integrate[Sqrt[1 + D[Sin[x], x]^2], {x, 0, Pi/4}]
r = N[s, 200]
RealDigits[r][[1]]

Crossrefs

Cf. A333202, A332633, A334842.

Sequence in context: A298206 A023407 A153841 * A021616 A019164 A108661

Adjacent sequences: A334840 A334841 A334842 * A334844 A334845 A334846

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jun 15 2020

Status

approved