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A201750 Decimal expansion of the nonzero number x satisfying -x^2+1=e^x. 2
7, 1, 4, 5, 5, 6, 3, 8, 4, 7, 4, 3, 0, 0, 9, 6, 8, 1, 6, 0, 1, 4, 4, 9, 1, 2, 6, 4, 3, 4, 3, 6, 2, 8, 8, 7, 5, 9, 6, 4, 9, 7, 9, 3, 8, 6, 6, 3, 8, 3, 0, 8, 2, 6, 9, 5, 5, 9, 1, 7, 6, 9, 5, 3, 2, 2, 4, 5, 9, 4, 5, 5, 2, 9, 0, 1, 6, 8, 9, 7, 1, 8, 1, 2, 6, 3, 6, 6, 2, 2, 7, 8, 6, 3, 9, 1, 5, 7, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
See A201741 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
x=-0.7145563847430096816014491264343628875...
MATHEMATICA
a = -1; b = 0; c = 1;
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, -.8, -.7}, WorkingPrecision -> 110]
RealDigits[r] (* A201750 *)
CROSSREFS
Cf. A201741.
Sequence in context: A021018 A010145 A199388 * A198825 A073008 A105199
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 05 2011
STATUS
approved

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Last modified June 13 17:32 EDT 2024. Contains 373391 sequences. (Running on oeis4.)