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A201900 Decimal expansion of the number x satisfying x^2+3x+3=e^x. 2
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 (list; constant; graph; refs; listen; history; text; internal format)
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

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Last modified January 26 07:28 EST 2022. Contains 350577 sequences. (Running on oeis4.)