A201396 Decimal expansion of the number x satisfying x^2+x+2=e^x.

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

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=2.2041177331716202959909548777323849535865...

Mathematica

a = 1; b = 1; c = 2;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -1, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 2.2, 2.3}, WorkingPrecision -> 110]
RealDigits[r]     (* A201396 *)

Crossrefs

Cf. A201741.

Sequence in context: A286777 A286123 A253243 * A005881 A218875 A218869

Adjacent sequences: A201393 A201394 A201395 * A201397 A201398 A201399

Keyword

nonn,cons

Author

Clark Kimberling, Dec 06 2011

Status

approved