A334847 Decimal expansion of arclength between (0,1) and (sqrt(3),2) on y^2 - x^2 = 1.

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

Offset

1,1

Links

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

Example

arclength = 2.03762235985767948861624584746725394131152...

Mathematica

s = Integrate[Sqrt[1 + D[Sqrt[1 + x^2], x]^2], {x, 0, Sqrt[3]}]
r = N[s, 200]
RealDigits[r][[1]]

Crossrefs

Cf. A333202, A334846.

Sequence in context: A309655 A260591 A127160 * A131330 A022833 A257236

Adjacent sequences: A334844 A334845 A334846 * A334848 A334849 A334850

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jun 15 2020

Status

approved