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A201758 Decimal expansion of the greatest x satisfying -x^2+5=e^x. 3
1, 2, 4, 1, 1, 4, 2, 7, 5, 8, 3, 9, 9, 5, 9, 7, 6, 9, 3, 5, 7, 2, 2, 5, 1, 2, 4, 4, 8, 9, 7, 7, 8, 8, 7, 2, 9, 5, 6, 2, 5, 3, 8, 9, 9, 9, 3, 8, 5, 7, 2, 1, 6, 3, 2, 1, 1, 7, 4, 5, 5, 9, 0, 4, 6, 6, 7, 3, 3, 4, 1, 2, 8, 7, 1, 5, 6, 0, 9, 7, 6, 8, 1, 4, 8, 7, 1, 2, 6, 0, 0, 2, 0, 5, 3, 6, 9, 2, 2 (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:  -2.21143775884204234489242329233015272...

greatest:  1.2411427583995976935722512448977887...

MATHEMATICA

a = -1; b = 0; c = 5;

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, -2.3, -2.2}, WorkingPrecision -> 110]

RealDigits[r]     (* A201757 *)

r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]

RealDigits[r]    (* A201758 *)

CROSSREFS

Cf. A201741.

Sequence in context: A269750 A292495 A065626 * A096110 A207260 A187913

Adjacent sequences:  A201755 A201756 A201757 * A201759 A201760 A201761

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 05 2011

STATUS

approved

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Last modified February 27 21:03 EST 2020. Contains 332309 sequences. (Running on oeis4.)