A201748 Decimal expansion of the number x satisfying x^2+9=e^x.

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

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=2.8356005060359799676253591958762716085328...

Mathematica

a = 1; b = 0; c = 9;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 2.8, 2.9}, WorkingPrecision -> 110]
RealDigits[r]   (* A201748 *)

Crossrefs

Cf. A201741.

Sequence in context: A081967 A076099 A199072 * A011431 A243340 A173823

Adjacent sequences: A201745 A201746 A201747 * A201749 A201750 A201751

Keyword

nonn,cons

Author

Clark Kimberling, Dec 05 2011

Status

approved