OFFSET
1,1
COMMENTS
Imaginary part of the complex constant z_3 whose real part is in A277681 (see the latter entry for more information).
LINKS
Stanislav Sykora, Table of n, a(n) for n = 1..2000
Stanislav Sykora, Fixed points of the mappings exp(z) and -exp(z) in C, 2016.
EXAMPLE
7.588631178472512622568923954107584383013473671992856360409437...
MATHEMATICA
RealDigits[Im[ProductLog[1, -1]], 10, 105][[1]] (* Jean-François Alcover, Nov 12 2016 *)
PROG
(PARI) default(realprecision, 2050); eps=5.0*10^(default(realprecision))
M(z, K)=log(z)+2*Pi*K*I; \\ the convergent mapping (any K)
K=1; z=1+I; zlast=z;
while(1, z=M(z, K); if(abs(z-zlast)<eps, break); zlast=z);
imag(z)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Stanislav Sykora, Nov 12 2016
STATUS
approved