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 A240341 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]. 1
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS MathOverflow, On equation f(z+1)-f(z)=f'(z) FORMULA First non-null solution to exp(lambda)-1=lambda in the first quadrant (imaginary part). Imaginary part of -LambertW(-2, -1/e) - 1. EXAMPLE 7.461489285654... MATHEMATICA lambda = -ProductLog[-2, -1/E] - 1; First[RealDigits[Im[lambda], 10, 100]] CROSSREFS Cf. A199460, A240340. Sequence in context: A085662 A155684 A198357 * A011204 A154018 A021138 Adjacent sequences:  A240338 A240339 A240340 * A240342 A240343 A240344 KEYWORD nonn,cons AUTHOR Jean-François Alcover, Apr 04 2014 STATUS approved

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Last modified December 11 21:00 EST 2019. Contains 329937 sequences. (Running on oeis4.)