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%I #6 Dec 10 2016 19:34:29
%S 7,4,6,1,4,8,9,2,8,5,6,5,4,2,5,4,5,5,6,9,0,6,1,1,6,6,1,2,1,8,6,4,1,5,
%T 3,3,4,5,0,9,0,9,4,9,9,3,2,0,2,2,0,9,2,4,0,9,3,4,4,1,1,3,9,1,4,1,1,8,
%U 7,6,6,5,4,3,2,2,3,7,4,6,7,7,8,2,9,4,4,9,4,1,7,1,2,0,7,9,4,0,5,5
%N Decimal expansion of the constant 'lambda' such that exp(lambda*z) is the first nontrivial first quadrant complex solution of this form to the functional equation f(z+1)-f(z)=f'(z) [imaginary part].
%H MathOverflow, <a href="http://mathoverflow.net/questions/114875">On equation f(z+1)-f(z)=f'(z)</a>
%F First non-null solution to exp(lambda)-1=lambda in the first quadrant (imaginary part).
%F Imaginary part of -LambertW(-2, -1/e) - 1.
%e 7.461489285654...
%t lambda = -ProductLog[-2, -1/E] - 1; First[RealDigits[Im[lambda], 10, 100]]
%Y Cf. A199460, A240340.
%K nonn,cons
%O 1,1
%A _Jean-François Alcover_, Apr 04 2014
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