A201744 Decimal expansion of the number x satisfying x^2+5=e^x.

2, 3, 5, 6, 3, 5, 3, 4, 8, 9, 8, 5, 7, 1, 5, 4, 3, 6, 2, 4, 2, 0, 2, 5, 9, 2, 3, 5, 5, 6, 8, 1, 4, 8, 9, 7, 8, 8, 6, 9, 7, 2, 1, 5, 1, 5, 0, 5, 4, 4, 6, 8, 0, 3, 2, 0, 4, 3, 9, 2, 1, 8, 0, 9, 8, 8, 5, 9, 0, 3, 0, 8, 9, 3, 8, 9, 9, 3, 6, 5, 5, 6, 4, 7, 4, 2, 0, 7, 3, 8, 1, 7, 4, 2, 8, 0, 5, 9, 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=2.35635348985715436242025923556814897886...

Mathematica

a = 1; b = 0; c = 5;
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, 2.3, 2.4}, WorkingPrecision -> 110]
RealDigits[r]   (* A201744 *)

Crossrefs

Cf. A201741.

Sequence in context: A177870 A094872 A361443 * A349957 A152206 A371155

Adjacent sequences: A201741 A201742 A201743 * A201745 A201746 A201747

Keyword

nonn,cons

Author

Clark Kimberling, Dec 05 2011

Status

approved