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A201767 Decimal expansion of the least x satisfying 10 - x^2 = e^x. 3
3, 1, 5, 5, 5, 3, 2, 3, 3, 0, 7, 9, 6, 3, 4, 6, 4, 4, 6, 9, 3, 2, 3, 0, 3, 3, 1, 9, 2, 6, 5, 8, 4, 0, 7, 0, 0, 0, 1, 0, 4, 2, 5, 6, 4, 4, 8, 9, 1, 1, 1, 9, 8, 6, 3, 7, 4, 6, 9, 1, 3, 5, 4, 3, 7, 9, 8, 7, 6, 6, 6, 9, 4, 4, 2, 6, 5, 5, 6, 4, 0, 3, 8, 8, 5, 0, 7, 3, 6, 1, 5, 0, 4, 4, 1, 0, 2, 2, 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
EXAMPLE
least: -3.1555323307963464469323033192658407000...
greatest: 1.87144644984680656529114045650417237...
MATHEMATICA
a = -1; b = 0; c = 10;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -4, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -3.2, -3.1}, WorkingPrecision -> 110]
RealDigits[r] (* A201767 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.8, 1.9}, WorkingPrecision -> 110]
RealDigits[r] (* A201768 *)
CROSSREFS
Cf. A201741.
Sequence in context: A067285 A067286 A256615 * A196361 A213613 A327296
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 05 2011
EXTENSIONS
a(93) onwards corrected by Georg Fischer, Aug 03 2021
STATUS
approved

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Last modified March 29 08:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)