A201902 Decimal expansion of the number x satisfying x^2+3x+5=e^x.

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

Offset

1,1

Comments

See A201741 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

x=3.220017950525710295777092092505130178392983...

Mathematica

a = 1; b = 3; c = 5;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 3.3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 3.2, 3.3}, WorkingPrecision -> 110]
RealDigits[r]      (* A201902 *)

Crossrefs

Cf. A201741.

Sequence in context: A357675 A152790 A247602 * A239893 A178609 A144948

Adjacent sequences: A201899 A201900 A201901 * A201903 A201904 A201905

Keyword

nonn,cons

Author

Clark Kimberling, Dec 06 2011

Status

approved