A196400 Decimal expansion of the positive number x satisfying e^x = 6*cos(x).

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

Offset

1,3

Links

Table of n, a(n) for n=1..99.

Example

1.065758888159031950548512972092892782462001...

Mathematica

Plot[{E^x, 2 Cos[x], 3 Cos[x], 4 Cos[x]}, {x, 0, Pi/2}]
t = x /.
  FindRoot[E^x == 2 Cos[x], {x, .5, .6}, WorkingPrecision -> 100]; RealDigits[t]  (* A196396 *)
t = x /.
  FindRoot[E^x == 3 Cos[x], {x, .7, .8}, WorkingPrecision -> 100]; RealDigits[t]  (* A196397 *)
t = x /.
  FindRoot[E^x == 4 Cos[x], {x, .8, 1.0}, WorkingPrecision -> 100]; RealDigits[t]  (* A196398 *)
t = x /.
  FindRoot[E^x == 5 Cos[x], {x, .8, 1.0}, WorkingPrecision -> 100]; RealDigits[t]  (* A196399 *)
t = x /.
  FindRoot[E^x == 6 Cos[x], {x, 1.0, 1.1}, WorkingPrecision -> 100]; RealDigits[t]  (* A196400 *)

Crossrefs

Sequence in context: A152149 A338287 A365927 * A086268 A245535 A191102

Adjacent sequences: A196397 A196398 A196399 * A196401 A196402 A196403

Keyword

nonn,cons

Author

Clark Kimberling, Oct 02 2011

Extensions

a(80) ff. corrected by Georg Fischer, Jul 30 2021

Status

approved