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A196408 Decimal expansion of the least positive number x satisfying e^(-x)=3*sin(x). 5
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 (list; constant; graph; refs; listen; history; text; internal format)
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

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Last modified October 27 13:40 EDT 2021. Contains 348276 sequences. (Running on oeis4.)