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A333761 Decimal expansion of root of the equation LambertW(r) = 1 - r. 1

%I #14 Jun 09 2020 06:58:52

%S 5,9,8,9,4,1,8,6,2,4,5,8,4,5,2,9,6,4,3,4,9,3,7,4,6,2,4,9,9,3,5,4,3,3,

%T 7,0,9,0,4,3,9,3,0,1,3,4,9,5,4,0,2,2,2,3,6,3,0,4,0,3,5,0,7,9,2,2,1,3,

%U 0,3,6,0,0,4,5,4,2,0,3,0,0,0,4,6,6,7,4,1,8,2,8,7,0,9,1,3,7,2,3,2,5,5,5,6,9,0

%N Decimal expansion of root of the equation LambertW(r) = 1 - r.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Lambert_W_function">Lambert W function</a>.

%e 0.59894186245845296434937462499354337090439301349540222363040350792213...

%t RealDigits[r/.FindRoot[LambertW[r] == 1 - r, {r, 1/2}, WorkingPrecision->150], 10, 120][[1]]

%o (PARI) solve(x=0, 1, 1-x-lambertw(x)) \\ _Michel Marcus_, Jun 09 2020

%Y Cf. A030178, A334242.

%K nonn,cons

%O 0,1

%A _Vaclav Kotesovec_, Jun 09 2020

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Last modified August 18 05:18 EDT 2024. Contains 375255 sequences. (Running on oeis4.)