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A196518 Decimal expansion of the number x satisfying x*e^x=5. 5
1, 3, 2, 6, 7, 2, 4, 6, 6, 5, 2, 4, 2, 2, 0, 0, 2, 2, 3, 6, 3, 5, 0, 9, 9, 2, 9, 7, 7, 5, 8, 0, 7, 9, 6, 6, 0, 1, 2, 8, 7, 9, 3, 5, 5, 4, 6, 3, 8, 0, 4, 7, 4, 7, 9, 7, 8, 9, 2, 9, 0, 3, 9, 3, 0, 2, 5, 3, 4, 2, 6, 7, 9, 9, 2, 0, 5, 3, 6, 2, 2, 6, 7, 7, 4, 4, 6, 9, 9, 1, 6, 6, 0, 8, 4, 2, 6, 7, 8, 9 (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

1.32672466524220022363509929775807966012...

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[5], 10, 50][[1]] (* G. C. Greubel, Nov 16 2017 *)

PROG

(PARI) lambertw(5) \\ G. C. Greubel, Nov 16 2017

CROSSREFS

Sequence in context: A275630 A102004 A233208 * A207636 A125764 A023897

Adjacent sequences:  A196515 A196516 A196517 * A196519 A196520 A196521

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 03 2011

STATUS

approved

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Last modified December 7 09:33 EST 2019. Contains 329843 sequences. (Running on oeis4.)