A332630 Decimal expansion of arclength between (0,1) and (1,2) on y = 2^x.

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

Offset: 1

Author

Clark Kimberling, Jun 12 2020

Keywords

• nonn
• cons
• easy

Examples

			arclength = 1.42116243743524518772746553679726129301339...
		

Crossrefs

Cf. A333202, A332629.

Programs

Mathematica

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