A201891 Decimal expansion of the number x satisfying x^2+2x+2=e^x.

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

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=2.674060313723560317913457264591694989622787...

Mathematica

a = 1; b = 2; c = 2;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -2, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 2.6, 2.7}, WorkingPrecision -> 110]
RealDigits[r]    (* A201891 *)

Crossrefs

Cf. A201741.

Sequence in context: A261804 A021378 A329246 * A198430 A065488 A016591

Adjacent sequences: A201888 A201889 A201890 * A201892 A201893 A201894

Keyword

nonn,cons

Author

Clark Kimberling, Dec 06 2011

Status

approved