A201889 Decimal expansion of the number x satisfying x^2+x+5=e^x.

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

Offset: 1

Author

Clark Kimberling, Dec 06 2011

Keywords

• nonn
• cons

Comments

See A201741 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			2.71287718703731960221880534853920451356941...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A201741.

Programs

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 *)