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A334843 Decimal expansion of arclength between (0,0) and (Pi/6,1/2) on y = sin x. 3
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 (list; constant; graph; refs; listen; history; text; internal format)
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

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Last modified June 13 18:45 EDT 2021. Contains 345008 sequences. (Running on oeis4.)