%I A030178
%S A030178 5,6,7,1,4,3,2,9,0,4,0,9,7,8,3,8,7,2,9,9,9,9,6,8,6,6,2,2,1,0,3,5,5,5,4,
%T A030178 9,7,5,3,8,1,5,7,8,7,1,8,6,5,1,2,5,0,8,1,3,5,1,3,1,0,7,9,2,2,3,0,4,5,7,
%U A030178 9,3,0,8,6,6,8,4,5,6,6,6,9,3,2,1,9,4,4,6,9,6,1,7,5,2,2,9,4,5,5,7,6,3,8
%N A030178 Decimal expansion of LambertW(1): the solution to x exp(x) = 1.
%C A030178 Sometimes called the Omega constant.
%C A030178 The first 59 digits form a prime: 5671432904097838729999686622103555497538157871865125081351. 
               - Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 09, 2004
%H A030178 Daniel Cummerow, <a href="http://www.geocities.com/Vienna/9349/constants.html">
               Sound of Mathematics</a>, Constants.
%H A030178 S. Plouffe, Plouffe's Inverter, <a href="http://pi.lacim.uqam.ca/piDATA/
               omega.txt">Lambert W(1, 0)</a>
%H A030178 S. Plouffe, <a href="http://www.worldwideschool.org/library/books/sci/
               math/MiscellaneousMathematicalConstants/chap70.html">The omega constant 
               or W(1)</a>
%H A030178 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               OmegaConstant.html">Omega Constant</a>
%H A030178 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               LambertW-Function.html">Lambert W-Function</a>
%e A030178 0.5671432904097838...
%p A030178 evalf(LambertW(1));
%t A030178 RealDigits[ ProductLog[1], 10, 111][[1]] (from Robert G. Wilson v May 
               19 2004)
%Y A030178 1/A030797. Cf. A019474.
%Y A030178 Sequence in context: A028314 A081820 A019978 this_sequence A038458 A021642 
               A101288
%Y A030178 Adjacent sequences: A030175 A030176 A030177 this_sequence A030179 A030180 
               A030181
%K A030178 nonn,cons
%O A030178 0,1
%A A030178 N. J. A. Sloane (njas(AT)research.att.com).