

A334845


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


0



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
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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



