A196408 Decimal expansion of the least positive number x satisfying e^(-x)=3*sin(x).

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

Offset

0,1

Links

Table of n, a(n) for n=0..100.

Example

x=0.259948213533212806677522636846326798938719239635636...

Mathematica

Plot[{E^(-x), Sin[x], 2 Sin[x], 3 Sin[x], 4 Sin[x]}, {x, 0, Pi/2}]
t = x /. FindRoot[E^(-x) == Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
RealDigits[t]  (* Cf. A069997 *)
t = x /. FindRoot[E^(-x) == 2 Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
RealDigits[t]  (* A196407 *)
t = x /. FindRoot[E^(-x) == 3 Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
RealDigits[t]  (* A196408 *)
t = x /. FindRoot[E^(-x) == 4 Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
RealDigits[t]  (* A196409 *)
t = x /. FindRoot[E^(-x) == 5 Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
RealDigits[t]  (* A196462 *)
t = x /. FindRoot[E^(-x) == 6 Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
RealDigits[t]  (* A196463 *)

Crossrefs

Sequence in context: A111290 A129140 A002580 * A091656 A273044 A133508

Adjacent sequences: A196405 A196406 A196407 * A196409 A196410 A196411

Keyword

nonn,cons

Author

Clark Kimberling, Oct 02 2011

Status

approved