A118080 Decimal expansion of inflection point of the Einstein function E_1(x).

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

Offset

1,1

Comments

E_1(x) = x^2 * exp(x) / (exp(x)-1)^2. - Joerg Arndt, Aug 15 2015

Links

Table of n, a(n) for n=1..105.

Eric Weisstein's World of Mathematics, Einstein Functions

Example

2.346941304167269025...

Mathematica

E1[x_] := x^2*E^x/(E^x - 1)^2; x0 = x /. FindRoot[E1''[x] == 0, {x, 2}, WorkingPrecision -> 105]; RealDigits[x0][[1]] (* Jean-François Alcover, Oct 26 2012 *)

Crossrefs

Sequence in context: A105808 A124058 A274423 * A136561 A112868 A111792

Adjacent sequences: A118077 A118078 A118079 * A118081 A118082 A118083

Keyword

nonn,cons

Author

Eric W. Weisstein, Apr 11 2006

Status

approved