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A201753 Decimal expansion of the least x satisfying -x^2+3=e^x. 3
1, 6, 7, 7, 2, 3, 2, 7, 0, 8, 5, 3, 2, 5, 3, 7, 9, 9, 8, 8, 9, 2, 7, 0, 1, 0, 1, 1, 7, 7, 9, 4, 2, 1, 7, 6, 9, 4, 5, 1, 2, 8, 9, 8, 5, 8, 1, 4, 2, 5, 6, 2, 3, 3, 9, 0, 2, 0, 0, 5, 9, 7, 0, 7, 0, 3, 6, 6, 6, 4, 7, 9, 1, 7, 1, 8, 0, 7, 4, 4, 3, 2, 0, 2, 8, 0, 5, 2, 2, 3, 4, 1, 2, 6, 7, 0, 2, 6, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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:  -1.677232708532537998892701011779421...

greatest:  0.8344868653087587860911016801273...

MATHEMATICA

a = -1; b = 0; c = 3;

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

Plot[{f[x], g[x]}, {x, -2, 1}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -1.7, -1.6}, WorkingPrecision -> 110]

RealDigits[r]    (* A201753 *)

r = x /. FindRoot[f[x] == g[x], {x, .8, .9}, WorkingPrecision -> 110]

RealDigits[r]    (* A201754 *)

CROSSREFS

Cf. A201741.

Sequence in context: A249539 A139726 A200095 * A084256 A197692 A322415

Adjacent sequences:  A201750 A201751 A201752 * A201754 A201755 A201756

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 05 2011

STATUS

approved

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Last modified February 23 21:20 EST 2020. Contains 332195 sequences. (Running on oeis4.)