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A201895
Decimal expansion of the least x satisfying x^2+3x+1=e^x.
3
2, 6, 4, 9, 2, 1, 9, 8, 8, 7, 7, 6, 7, 2, 9, 2, 9, 6, 5, 3, 4, 8, 4, 9, 6, 1, 3, 7, 9, 5, 3, 4, 0, 8, 1, 5, 2, 7, 9, 6, 9, 5, 4, 5, 4, 5, 4, 9, 7, 2, 0, 5, 7, 6, 3, 0, 7, 4, 6, 5, 8, 0, 9, 0, 6, 1, 2, 5, 0, 6, 6, 9, 9, 0, 9, 4, 1, 9, 6, 6, 6, 6, 7, 3, 7, 3, 0, 1, 0, 6, 4, 5, 0, 2, 0, 7, 9, 3, 6
OFFSET
1,1
COMMENTS
See A201741 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
least: -2.649219887767292965348496137953408152796...
greatest: 2.8931164309252712203155349313495308853...
MATHEMATICA
a = 1; b = 3; c = 1;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -4, 4}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -2.7, -2.6}, WorkingPrecision -> 110]
RealDigits[r] (* A201895 *)
r = x /. FindRoot[f[x] == g[x], {x, 2.9, 3.0}, WorkingPrecision -> 110]
RealDigits[r] (* A201986 *) (* NOTE: 3 zeros *)
CROSSREFS
Cf. A201741.
Sequence in context: A352867 A324651 A342808 * A192408 A074208 A362229
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 06 2011
STATUS
approved