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A333205 Decimal expansion of arclength between inflection points of y = 1/(1 + x^2). 1
1, 2, 7, 6, 4, 8, 5, 0, 4, 3, 5, 7, 7, 2, 1, 9, 0, 7, 9, 5, 0, 5, 7, 8, 8, 1, 0, 3, 2, 6, 5, 2, 2, 0, 2, 0, 8, 9, 7, 8, 9, 8, 2, 3, 6, 7, 9, 9, 7, 6, 8, 4, 1, 1, 9, 8, 1, 6, 7, 9, 7, 5, 4, 6, 2, 5, 4, 9, 4, 7, 4, 4, 2, 7, 0, 8, 3, 8, 0, 3, 3, 9, 9, 5, 1, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

EXAMPLE

arclength = 1.2764850435772190795057881032652202089789823679976841...

MATHEMATICA

s = Integrate[Sqrt[1 + 4 x^2/(1 + x^2)^4], {x, -Sqrt[1/3], Sqrt[1/3]}]

r = N[s, 200]

RealDigits[r][[1]]

CROSSREFS

Cf. A333202, A333203.

Sequence in context: A244847 A175477 A333521 * A011263 A074067 A110988

Adjacent sequences:  A333202 A333203 A333204 * A333206 A333207 A333208

KEYWORD

nonn,cons,easy

AUTHOR

Clark Kimberling, Jun 12 2020

STATUS

approved

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Last modified September 28 01:27 EDT 2021. Contains 347698 sequences. (Running on oeis4.)