|
| |
|
|
A202325
|
|
Decimal expansion of x>0 satisfying x+3=e^x.
|
|
3
|
|
|
|
1, 5, 0, 5, 2, 4, 1, 4, 9, 5, 7, 9, 2, 8, 8, 3, 3, 6, 6, 9, 9, 8, 6, 2, 4, 4, 3, 2, 1, 3, 7, 3, 5, 3, 9, 4, 0, 0, 7, 6, 8, 4, 3, 5, 6, 0, 1, 9, 0, 2, 1, 9, 8, 1, 1, 6, 4, 3, 7, 9, 4, 4, 0, 9, 2, 4, 6, 7, 9, 9, 9, 0, 3, 9, 9, 2, 5, 4, 5, 0, 8, 0, 7, 1, 7, 4, 7, 1, 0, 9, 0, 4, 4, 2, 2, 2, 2, 7, 4
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
See A202320 for a guide to related sequences. The Mathematica program includes a graph.
|
|
|
LINKS
|
Table of n, a(n) for n=1..99.
|
|
|
EXAMPLE
|
x<0: -2.9475309025422851275901263887139816414...
x>0: 1.50524149579288336699862443213735394007...
|
|
|
MATHEMATICA
|
u = 1; v = 3;
f[x_] := u*x + v; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -2, -1}, WorkingPrecision -> 110]
RealDigits[r] (* A202324 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.6}, WorkingPrecision -> 110]
RealDigits[r] (* A202325 *)
|
|
|
CROSSREFS
|
Cf. A202320.
Sequence in context: A036478 A059628 A073441 * A199382 A140240 A091672
Adjacent sequences: A202322 A202323 A202324 * A202326 A202327 A202328
|
|
|
KEYWORD
|
nonn,cons
|
|
|
AUTHOR
|
Clark Kimberling, Dec 16 2011
|
|
|
STATUS
|
approved
|
| |
|
|
