A332634 Decimal expansion of arclength between (0,0) and (Pi/6,1) on y = tan x.

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

Offset

0,1

Links

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

Example

arclength = 0.780131428280849333559981872217733063687522...

Mathematica

s = Integrate[Sqrt[1 + D[Tan[x], x]^2], {x, 0, Pi/6}]
r = N[s, 200]
RealDigits[r][[1]]

Crossrefs

Cf. A333202, A332633, A334843

Sequence in context: A155846 A221114 A198841 * A330652 A181438 A333972

Adjacent sequences: A332631 A332632 A332633 * A332635 A332636 A332637

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jun 15 2020

Status

approved