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A196516 Decimal expansion of the number x satisfying x*e^x=3. 5
1, 0, 4, 9, 9, 0, 8, 8, 9, 4, 9, 6, 4, 0, 3, 9, 9, 5, 9, 9, 8, 8, 6, 9, 7, 0, 7, 0, 5, 5, 2, 8, 9, 7, 9, 0, 4, 5, 8, 9, 4, 6, 6, 9, 4, 3, 7, 0, 6, 3, 4, 1, 4, 5, 2, 9, 3, 2, 8, 7, 1, 5, 8, 3, 3, 1, 6, 6, 4, 9, 0, 5, 0, 4, 4, 4, 4, 4, 2, 9, 5, 7, 8, 8, 5, 6, 7, 8, 6, 6, 6, 8, 2, 2, 4, 3, 4, 6, 7, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..5000

Index entries for transcendental numbers

EXAMPLE

1.049908894964039959988697070552897904589...

MATHEMATICA

Plot[{E^x, 1/x, 2/x, 3/x, 4/x}, {x, 0, 2}]

t = x /. FindRoot[E^x == 1/x, {x, 0.5, 1}, WorkingPrecision -> 100]

RealDigits[t]  (* A030175 *)

t = x /. FindRoot[E^x == 2/x, {x, 0.5, 1}, WorkingPrecision -> 100]

RealDigits[t]  (* A196515 *)

t = x /. FindRoot[E^x == 3/x, {x, 0.5, 2}, WorkingPrecision -> 100]

RealDigits[t]  (* A196516 *)

t = x /. FindRoot[E^x == 4/x, {x, 0.5, 2}, WorkingPrecision -> 100]

RealDigits[t]  (* A196517 *)

t = x /. FindRoot[E^x == 5/x, {x, 0.5, 2}, WorkingPrecision -> 100]

RealDigits[t]  (* A196518 *)

t = x /. FindRoot[E^x == 6/x, {x, 0.5, 2}, WorkingPrecision -> 100]

RealDigits[t]  (* A196519 *)

RealDigits[LambertW[3], 10, 50][[1]] (* _G. C. Greubel-, Nov 16 2017 *)

PROG

(PARI) lambertw(3) \\ G. C. Greubel, Nov 16 2017

CROSSREFS

Sequence in context: A145521 A230979 A145431 * A021671 A203140 A011512

Adjacent sequences:  A196513 A196514 A196515 * A196517 A196518 A196519

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 03 2011

STATUS

approved

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Last modified November 17 18:24 EST 2019. Contains 329241 sequences. (Running on oeis4.)