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A019474 Continued fraction expansion of W(1), where W(x) is the Lambert W function (the root of w*exp(w) = x). 2

%I

%S 0,1,1,3,4,2,10,4,1,1,1,1,2,7,306,1,5,1,2,1,5,1,1,1,1,7,1,4,2,15,1,2,

%T 1,1,4,1,3,3,5,4,1,1,1,4,3,1,38,1,2,4,1,5,2,1,6,2,1,1,1,1,1,1,1,1,3,4,

%U 5,3,2,11,1,1,1,49,4,1,1,1

%N Continued fraction expansion of W(1), where W(x) is the Lambert W function (the root of w*exp(w) = x).

%H G. C. Greubel, <a href="/A019474/b019474.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%e 0.5671432904097838...

%p Digite := 80: evalf(LambertW(1)); convert(%,confrac);

%t ContinuedFraction[ ProductLog[1], 78] (* _Jean-Fran├žois Alcover_, Jun 24 2013 *)

%o (PARI) contfrac(lambertw(1)) \\ _G. C. Greubel_, Mar 03 2018

%Y Cf. A030178.

%K nonn,cofr

%O 0,4

%A Robert Corless (rmc(AT)pineapple.apmaths.uwo.ca), _N. J. A. Sloane_.

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Last modified October 21 06:39 EDT 2019. Contains 328292 sequences. (Running on oeis4.)