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A226775 Decimal expansion of the number x other than -2 defined by x*exp(x) = -2/e^2. 37

%I #31 Aug 31 2020 05:06:26

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

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

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

%N Decimal expansion of the number x other than -2 defined by x*exp(x) = -2/e^2.

%H G. C. Greubel, <a href="/A226775/b226775.txt">Table of n, a(n) for n = 0..10000</a>

%F Equals -2*A106533.

%F Equals LambertW(-2*exp(-2)).

%e -0.4063757399599599076769581241248397582109975751811406350004954883....

%t RealDigits[N[ProductLog[-2/E^2], 105]][[1]] (* corrected by _Vaclav Kotesovec_, Feb 21 2014 *)

%o (PARI) solve(x=-1, x=0, x*exp(x) + 2*exp(-2)) \\ _G. C. Greubel_, Nov 15 2017

%Y Cf. A106533, A187655, A187657, A217899, A217900, A226750, A243227, A245109, A247238, A258467, A337458.

%K nonn,cons

%O 0,1

%A _José María Grau Ribas_, Jun 17 2013

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Last modified June 3 13:21 EDT 2024. Contains 373060 sequences. (Running on oeis4.)