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A201889 Decimal expansion of the number x satisfying x^2+x+5=e^x. 2
2, 7, 1, 2, 8, 7, 7, 1, 8, 7, 0, 3, 7, 3, 1, 9, 6, 0, 2, 2, 1, 8, 8, 0, 5, 3, 4, 8, 5, 3, 9, 2, 0, 4, 5, 1, 3, 5, 6, 9, 4, 1, 1, 8, 2, 9, 2, 0, 2, 7, 8, 1, 6, 4, 2, 4, 8, 4, 1, 1, 0, 6, 6, 1, 5, 4, 4, 0, 8, 9, 5, 0, 4, 4, 1, 7, 7, 2, 6, 2, 7, 5, 5, 4, 3, 6, 6, 4, 3, 7, 2, 2, 9, 7, 2, 4, 2, 8, 5 (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

x=2.71287718703731960221880534853920451356941...

MATHEMATICA

a = 1; b = 1; c = 5;

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

Plot[{f[x], g[x]}, {x, -1, 3}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, 2.7, 2.8}, WorkingPrecision -> 110]

RealDigits[r]     (* A201889 *)

CROSSREFS

Cf. A201741.

Sequence in context: A011340 A081705 A324329 * A145057 A218792 A065254

Adjacent sequences:  A201886 A201887 A201888 * A201890 A201891 A201892

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 06 2011

STATUS

approved

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Last modified January 20 08:18 EST 2020. Contains 331081 sequences. (Running on oeis4.)