A201931 Decimal expansion of the least x satisfying x^2+5x+1=e^x.

4, 7, 9, 3, 0, 9, 5, 4, 5, 5, 1, 2, 7, 4, 9, 3, 5, 8, 9, 5, 6, 5, 6, 2, 1, 1, 0, 8, 5, 0, 4, 2, 0, 4, 3, 1, 4, 3, 4, 8, 9, 0, 9, 3, 1, 7, 4, 9, 1, 1, 1, 6, 0, 8, 1, 0, 6, 7, 9, 3, 2, 4, 1, 6, 4, 7, 7, 9, 2, 7, 2, 5, 5, 7, 4, 3, 6, 2, 1, 1, 3, 1, 9, 9, 3, 3, 1, 8, 8, 1, 4, 2, 4, 1, 1, 4, 3, 6, 1

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

least:  -4.79309545512749358956562110850420...
greatest:  3.377361484197400579255025058889...

Mathematica

a = 1; b = 5; c = 1;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -5, 3.5}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -4.8, -4.7}, WorkingPrecision -> 110]
RealDigits[r]     (* A201931 *)
r = x /. FindRoot[f[x] == g[x], {x, 3.3, 3.4}, WorkingPrecision -> 110]
RealDigits[r]     (* A201932 *)

Crossrefs

Cf. A201741.

Sequence in context: A201413 A021680 A299617 * A201504 A159898 A154160

Adjacent sequences: A201928 A201929 A201930 * A201932 A201933 A201934

Keyword

nonn,cons

Author

Clark Kimberling, Dec 06 2011

Status

approved