A201900 Decimal expansion of the number x satisfying x^2+3x+3=e^x.

3, 0, 7, 7, 4, 5, 4, 7, 2, 9, 8, 2, 6, 0, 8, 8, 7, 0, 5, 2, 1, 7, 7, 4, 2, 5, 0, 8, 3, 6, 7, 5, 6, 3, 7, 9, 8, 8, 2, 0, 7, 5, 7, 4, 0, 0, 8, 7, 0, 6, 5, 0, 9, 1, 8, 7, 9, 9, 5, 9, 0, 9, 1, 1, 8, 4, 5, 4, 2, 6, 0, 8, 9, 5, 1, 6, 7, 4, 1, 4, 6, 2, 1, 2, 4, 0, 4, 9, 5, 6, 9, 5, 8, 8, 4, 5, 2, 9, 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=3.077454729826088705217742508367563798820757400...

Mathematica

a = 1; b = 3; c = 3;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 3.3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 3.0, 3.1}, WorkingPrecision -> 110]
RealDigits[r]     (* A201900 *)

Crossrefs

Cf. A201741.

Sequence in context: A021329 A244809 A316554 * A344387 A019970 A342698

Adjacent sequences: A201897 A201898 A201899 * A201901 A201902 A201903

Keyword

nonn,cons

Author

Clark Kimberling, Dec 06 2011

Status

approved