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A201765 Decimal expansion of the least x satisfying 9-x^2=e^x. 3
2, 9, 9, 1, 6, 2, 0, 6, 3, 0, 1, 2, 8, 1, 8, 7, 5, 0, 5, 2, 3, 7, 9, 6, 0, 2, 9, 2, 2, 9, 2, 9, 3, 8, 0, 3, 8, 0, 3, 8, 7, 8, 7, 3, 4, 2, 2, 5, 3, 6, 1, 2, 3, 8, 5, 4, 8, 1, 1, 5, 0, 4, 1, 9, 3, 5, 3, 0, 4, 6, 1, 3, 5, 5, 8, 0, 8, 8, 7, 2, 0, 8, 2, 9, 3, 3, 1, 7, 9, 3, 1, 3, 0, 2, 6, 5, 6, 4, 0 (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:  -2.9916206301281875052379602922929380380...

greatest:  1.76960110019935768918659677471067851...

MATHEMATICA

a = -1; b = 0; c = 9;

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

Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]

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

RealDigits[r]    (* A201765 *)

r = x /. FindRoot[f[x] == g[x], {x, 1.7, 1.8}, WorkingPrecision -> 110]

RealDigits[r]    (* A201766 *)

CROSSREFS

Cf. A201741.

Sequence in context: A011072 A175295 A198141 * A160331 A019702 A201899

Adjacent sequences:  A201762 A201763 A201764 * A201766 A201767 A201768

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 05 2011

STATUS

approved

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Last modified March 29 05:39 EDT 2020. Contains 333105 sequences. (Running on oeis4.)