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A196519 Decimal expansion of the number x satisfying x*e^x=6. 5
1, 4, 3, 2, 4, 0, 4, 7, 7, 5, 8, 9, 8, 3, 0, 0, 3, 1, 1, 2, 3, 4, 0, 7, 8, 0, 0, 7, 2, 1, 2, 0, 5, 8, 6, 9, 4, 7, 8, 6, 4, 3, 4, 6, 0, 8, 8, 0, 4, 3, 0, 2, 0, 2, 5, 6, 5, 5, 9, 4, 8, 4, 9, 6, 3, 4, 3, 3, 9, 9, 5, 9, 3, 2, 5, 9, 8, 3, 1, 1, 1, 6, 8, 5, 7, 6, 3, 8, 4, 2, 2, 2, 9, 9, 4, 4, 5, 6, 5, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

Index entries for transcendental numbers

EXAMPLE

1.43240477589830031123407800721205869478643460...

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[6], 10, 50][[1]] (* G. C. Greubel, Nov 16 2017 *)

PROG

(PARI) lambertw(6) \\ G. C. Greubel, Nov 16 2017

CROSSREFS

Sequence in context: A245459 A001368 A197224 * A184338 A184412 A304240

Adjacent sequences:  A196516 A196517 A196518 * A196520 A196521 A196522

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 03 2011

EXTENSIONS

Terms a(95) onward corrected by G. C. Greubel, Nov 16 2017

STATUS

approved

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Last modified December 14 15:08 EST 2019. Contains 329979 sequences. (Running on oeis4.)