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

Author

Clark Kimberling, Jun 15 2020

Keywords

• nonn
• cons
• easy

Examples

			arclength = 0.780131428280849333559981872217733063687522...
		

Crossrefs

Cf. A333202, A332633, A334843

Programs

Mathematica

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