A201749 Decimal expansion of the number x satisfying x^2+10=e^x.

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

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=2.918826982306345343651746480540976249949094...

Mathematica

a = 1; b = 0; c = 10;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 4}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 2.9, 3.0}, WorkingPrecision -> 110]
RealDigits[r]   (* A201749 *)

Crossrefs

Cf. A201741.

Sequence in context: A016595 A144806 A201738 * A117033 A152584 A375370

Adjacent sequences: A201746 A201747 A201748 * A201750 A201751 A201752

Keyword

nonn,cons

Author

Clark Kimberling, Dec 05 2011

Status

approved