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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, 3, 2, 5, 5, 6, 4, 8 (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:  -3.1555323307963464469323033192658407000...

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

Adjacent sequences:  A201764 A201765 A201766 * A201768 A201769 A201770

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 05 2011

STATUS

approved

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Last modified March 30 12:10 EDT 2020. Contains 333125 sequences. (Running on oeis4.)