login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; constant; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 26 04:27 EDT 2021. Contains 348256 sequences. (Running on oeis4.)