A332628 Decimal expansion of arclength between inflection points of standard normal density function.
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
Offset: 1
Examples
arclength = 2.02982818143922696710333051626691663409401269956...
Crossrefs
Cf. A333205.
Programs
-
Mathematica
s = Integrate[Sqrt[1 + (E^-x^2 x^2)/(2 Pi)], {x, -1, 1}] r = N[s, 200] RealDigits[r][[1]] -
PARI
intnum(x=-1, 1, sqrt(1+exp(-x^2)*x^2/(2*Pi))) \\ Michel Marcus, May 13 2020
Comments