A333205 Decimal expansion of arclength between inflection points of y = 1/(1 + x^2).

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

Offset: 1

Author

Clark Kimberling, Jun 12 2020

Keywords

• nonn
• cons
• easy

Examples

			arclength = 1.2764850435772190795057881032652202089789823679976841...
		

Crossrefs

Cf. A333202, A333203.

Programs

Mathematica

s = Integrate[Sqrt[1 + 4 x^2/(1 + x^2)^4], {x, -Sqrt[1/3], Sqrt[1/3]}]
r = N[s, 200]
RealDigits[r][[1]]