A201890 Decimal expansion of the nonzero number x satisfying x^2+2x+1=e^x.

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

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=2.51286241725233935396547523321843265383...

Mathematica

a = 1; b = 2; c = 1;
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, 2.5, 2.6}, WorkingPrecision -> 110]
RealDigits[r]    (* A201890 *)

Crossrefs

Cf. A201741.

Sequence in context: A240543 A004575 A021402 * A341923 A146097 A091953

Adjacent sequences: A201887 A201888 A201889 * A201891 A201892 A201893

Keyword

nonn,cons

Author

Clark Kimberling, Dec 06 2011

Status

approved