A334845 Decimal expansion of arclength between (0,1) and (Pi/4,sqrt(2)) on y = sec x.

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

Offset

0,1

Links

Table of n, a(n) for n=0..85.

Example

arclength = 0.9246753483536079599958842623846196965880723284650...

Mathematica

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

Crossrefs

Cf. A333202, A332633.

Sequence in context: A176517 A020784 A111188 * A195405 A089065 A248319

Adjacent sequences: A334842 A334843 A334844 * A334846 A334847 A334848

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jun 15 2020

Status

approved