The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A240340 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) [real part]. 1
 2, 0, 8, 8, 8, 4, 3, 0, 1, 5, 6, 1, 3, 0, 4, 3, 8, 5, 5, 9, 5, 7, 0, 8, 6, 7, 1, 6, 7, 7, 4, 9, 4, 7, 5, 0, 0, 5, 4, 5, 6, 9, 3, 7, 4, 1, 0, 3, 6, 7, 2, 9, 6, 7, 3, 2, 3, 9, 1, 1, 2, 5, 4, 4, 2, 4, 4, 6, 0, 7, 1, 1, 0, 1, 0, 3, 1, 9, 4, 5, 2, 9, 8, 3, 2, 4, 4, 9, 0, 1, 3, 2, 9, 9, 6, 6, 3, 4, 3, 8 (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 (real part). Real part of -LambertW(-2, -1/e) - 1. EXAMPLE 2.088843015613... MATHEMATICA lambda = -ProductLog[-2, -1/E] - 1; First[RealDigits[Re[lambda], 10, 100]] CROSSREFS Cf. A199460, A240341. Sequence in context: A288015 A288438 A287737 * A288700 A287855 A287542 Adjacent sequences:  A240337 A240338 A240339 * A240341 A240342 A240343 KEYWORD nonn,cons AUTHOR Jean-François Alcover, Apr 04 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 11 21:35 EDT 2021. Contains 343808 sequences. (Running on oeis4.)