

A332628


Decimal expansion of arclength between inflection points of standard normal density function.


0



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

1,1


COMMENTS

The inflection points are (1,1) and (1,1), corresponding to one standard deviation.


LINKS

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


EXAMPLE

arclength = 2.02982818143922696710333051626691663409401269956...


MATHEMATICA

s = Integrate[Sqrt[1 + (E^x^2 x^2)/(2 Pi)], {x, 1, 1}]
r = N[s, 200]
RealDigits[r][[1]]


PROG

(PARI) intnum(x=1, 1, sqrt(1+exp(x^2)*x^2/(2*Pi))) \\ Michel Marcus, May 13 2020


CROSSREFS

Cf. A333205.
Sequence in context: A137302 A324305 A265607 * A091518 A096734 A220234
Adjacent sequences: A332625 A332626 A332627 * A332629 A332630 A332631


KEYWORD

nonn,cons,easy


AUTHOR

Clark Kimberling, May 13 2020


STATUS

approved



