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A196462 Decimal expansion of the least positive number x satisfying e^(-x)=5*sin(x). 5
1, 6, 9, 6, 1, 0, 7, 1, 3, 6, 3, 6, 7, 3, 4, 8, 2, 1, 7, 3, 3, 3, 1, 9, 8, 7, 1, 3, 9, 9, 3, 4, 0, 9, 4, 4, 0, 6, 4, 0, 2, 3, 1, 1, 9, 6, 0, 5, 7, 7, 2, 1, 7, 9, 4, 9, 0, 5, 1, 4, 3, 5, 7, 7, 6, 8, 8, 8, 0, 9, 3, 8, 6, 5, 4, 4, 8, 2, 0, 7, 3, 2, 3, 4, 2, 0, 0, 1, 8, 6, 7, 5, 9, 0, 8, 5, 9, 0, 9, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..99.

EXAMPLE

x=0.1696107136367348217333198713993409440640231196057...

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: A021859 A336908 A330594 * A242814 A239808 A198144

Adjacent sequences:  A196459 A196460 A196461 * A196463 A196464 A196465

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 02 2011

STATUS

approved

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Last modified September 20 12:05 EDT 2021. Contains 347586 sequences. (Running on oeis4.)