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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 (list; constant; graph; refs; listen; history; text; internal format)
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

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Last modified August 2 16:47 EDT 2021. Contains 346428 sequences. (Running on oeis4.)