A332633 Decimal expansion of arclength between (0,0) and (Pi/4,1) on y = tan x.

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

Offset: 1

Author

Clark Kimberling, Jun 12 2020

Keywords

• nonn
• cons
• easy

Examples

			arclength = 1.277978059277934418567056623029833449721770...
		

Crossrefs

Cf. A333202, A332634, A332635.

Programs

Mathematica

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