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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

Table of n, a(n) for n=1..100.

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-Fran├žois Alcover, Apr 04 2014

STATUS

approved

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