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A201903 Decimal expansion of the least x satisfying x^2+4x+1=e^x. 3
3, 7, 3, 8, 9, 0, 2, 0, 0, 9, 6, 6, 8, 9, 9, 6, 7, 2, 5, 1, 8, 0, 2, 0, 5, 8, 0, 9, 5, 3, 9, 2, 7, 8, 2, 3, 0, 1, 4, 7, 6, 6, 8, 8, 9, 7, 0, 7, 8, 6, 0, 7, 2, 8, 2, 2, 0, 0, 9, 9, 5, 7, 9, 2, 4, 2, 6, 0, 6, 8, 0, 9, 5, 0, 9, 5, 6, 0, 2, 8, 1, 5, 4, 6, 6, 1, 1, 4, 3, 9, 1, 8, 8, 9, 8, 5, 0, 7, 5 (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:  -3.73890200966899672518020580953927823014766...

greatest:  3.164137111637938325284466966738921596561...

MATHEMATICA

a = 1; b = 4; c = 1;

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

Plot[{f[x], g[x]}, {x, -4, 3.3}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -3.8, -3.7}, WorkingPrecision -> 110]

RealDigits[r]     (* A201903 *)

r = x /. FindRoot[f[x] == g[x], {x, 3.1, 3.2}, WorkingPrecision -> 110]

RealDigits[r]     (* A201904 *)

CROSSREFS

Cf. A201741.

Sequence in context: A286090 A225447 A309601 * A133056 A131917 A019785

Adjacent sequences:  A201900 A201901 A201902 * A201904 A201905 A201906

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 06 2011

STATUS

approved

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Last modified May 22 22:13 EDT 2022. Contains 353959 sequences. (Running on oeis4.)