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A201896 Decimal expansion of the greatest x satisfying x^2+3x+1=e^x. 1
2, 8, 9, 3, 1, 1, 6, 4, 3, 0, 9, 2, 5, 2, 7, 1, 2, 2, 0, 3, 1, 5, 5, 3, 4, 9, 3, 1, 3, 4, 9, 5, 3, 0, 8, 8, 5, 3, 0, 4, 0, 7, 9, 0, 9, 1, 5, 4, 6, 9, 7, 7, 4, 0, 1, 8, 2, 1, 6, 3, 4, 9, 2, 8, 1, 6, 6, 5, 5, 3, 6, 6, 0, 7, 8, 3, 3, 7, 3, 0, 5, 1, 9, 0, 8, 9, 2, 1, 0, 2, 3, 8, 8, 7, 1, 7, 3, 5, 1 (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

least:  -2.649219887767292965348496137953408152796...

greatest:  2.8931164309252712203155349313495308853...

MATHEMATICA

a = 1; b = 3; c = 1;

f[x_] := a*x^2 + b*x + c; g[x_] := E^x

Plot[{f[x], g[x]}, {x, -4, 4}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -2.7, -2.6}, WorkingPrecision -> 110]

RealDigits[r]     (* A201895 *)

r = x /. FindRoot[f[x] == g[x], {x, 2.9, 3.0}, WorkingPrecision -> 110]

RealDigits[r]     (* A201986 *)  (* NOTE 3 zeros *)

CROSSREFS

Cf. A201741.

Sequence in context: A316138 A011062 A155922 * A154859 A179377 A199274

Adjacent sequences:  A201893 A201894 A201895 * A201897 A201898 A201899

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 06 2011

STATUS

approved

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Last modified February 26 03:24 EST 2020. Contains 332272 sequences. (Running on oeis4.)