A202494 Decimal expansion of x satisfying x=e^(x-3).

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

Offset

-1,1

Comments

See A202348 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=-1..97.

Example

0.052469097457714872409873611286018358554199...

Mathematica

u = 1; v = -3;
f[x_] := x; g[x_] := E^(u*x + v)
Plot[{f[x], g[x]}, {x, 0, .2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .15, .16}, WorkingPrecision -> 110]
RealDigits[r]  (* A202494 *)
RealDigits[ -ProductLog[-1/E^3], 10, 99] // First (* Jean-François Alcover, Feb 27 2013 *)

Prog

(PARI) solve(x=0, 1, x-exp(x-3)) \\ Michel Marcus, Aug 11 2021

Crossrefs

Cf. A202348.

Sequence in context: A265287 A329477 A257701 * A112597 A257700 A334206

Adjacent sequences: A202491 A202492 A202493 * A202495 A202496 A202497

Keyword

nonn,cons

Author

Clark Kimberling, Dec 20 2011

Extensions

Offset corrected by Georg Fischer, Aug 10 2021

Status

approved