A334846 Decimal expansion of arclength between (0,1) and (1,sqrt(2)) on y^2 - x^2 = 1.

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

Offset

1,3

Links

Table of n, a(n) for n=1..86.

Example

arclength = 1.099687413739204296413721014223062752214344...

Mathematica

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

Crossrefs

Cf. A333202, A334847.

Sequence in context: A085984 A335011 A157245 * A072908 A217695 A197390

Adjacent sequences: A334843 A334844 A334845 * A334847 A334848 A334849

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jun 15 2020

Status

approved