A334842 Decimal expansion of arclength between (0,0) and (Pi/3,sqrt(3)) on y = tan x.

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

Offset

1,1

Links

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

Example

arclength = 2.056999740078724233251017930691409549645541986...

Mathematica

s = Integrate[Sqrt[1 + D[Tan[x], x]^2], {x, 0, Pi/3}]
r = N[s, 200]
RealDigits[r][[1]]

Crossrefs

Cf. A333202, A332633, A334843.

Sequence in context: A240662 A188724 A082832 * A320372 A097709 A197877

Adjacent sequences: A334839 A334840 A334841 * A334843 A334844 A334845

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jun 15 2020

Status

approved