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A201895 Decimal expansion of the least x satisfying x^2+3x+1=e^x. 3
2, 6, 4, 9, 2, 1, 9, 8, 8, 7, 7, 6, 7, 2, 9, 2, 9, 6, 5, 3, 4, 8, 4, 9, 6, 1, 3, 7, 9, 5, 3, 4, 0, 8, 1, 5, 2, 7, 9, 6, 9, 5, 4, 5, 4, 5, 4, 9, 7, 2, 0, 5, 7, 6, 3, 0, 7, 4, 6, 5, 8, 0, 9, 0, 6, 1, 2, 5, 0, 6, 6, 9, 9, 0, 9, 4, 1, 9, 6, 6, 6, 6, 7, 3, 7, 3, 0, 1, 0, 6, 4, 5, 0, 2, 0, 7, 9, 3, 6 (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: A097265 A324651 A342808 * A192408 A074208 A333775

Adjacent sequences:  A201892 A201893 A201894 * A201896 A201897 A201898

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 06 2011

STATUS

approved

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Last modified June 20 03:20 EDT 2021. Contains 345157 sequences. (Running on oeis4.)