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A277683 Decimal expansion of the modulus of the fixed point of exp(z) in C congruent with the branch K=1 of log(z)+2*Pi*K*i. 6
7, 8, 6, 3, 8, 6, 1, 1, 7, 6, 0, 9, 4, 2, 3, 2, 6, 6, 8, 8, 4, 2, 5, 7, 3, 6, 2, 3, 4, 8, 7, 3, 8, 2, 3, 2, 1, 4, 6, 8, 3, 2, 0, 2, 0, 7, 7, 7, 9, 8, 9, 3, 4, 6, 0, 2, 9, 4, 1, 4, 4, 5, 3, 0, 5, 7, 4, 5, 8, 5, 9, 2, 4, 3, 3, 2, 5, 2, 0, 4, 5, 8, 8, 8, 0, 1, 1, 0, 4, 5, 8, 7, 4, 9, 0, 6, 6, 4, 4, 6, 4, 0, 3, 8, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Modulus of z_3 = A277681 + i*A277682. See A277681 for more information.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..2000

EXAMPLE

7.863861176094232668842573623487382321468320207779893460294144...

MATHEMATICA

RealDigits[Norm[ProductLog[1, -1]], 10, 105][[1]] (* Jean-Fran├žois 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);

abs(z)

CROSSREFS

Fixed points of +exp(z): z_1: A059526, A059527, A238274, and z_3: A277681 (real part), A277682 (imaginary part).

Fixed points of -exp(z): z_0: A030178, and z_2: A276759, A276760, A276761.

Sequence in context: A004496 A197762 A181624 * A143300 A242816 A093827

Adjacent sequences:  A277680 A277681 A277682 * A277684 A277685 A277686

KEYWORD

nonn,cons

AUTHOR

Stanislav Sykora, Nov 12 2016

STATUS

approved

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Last modified August 17 23:58 EDT 2017. Contains 290682 sequences.