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A290410 Decimal expansion of the imaginary part of the solution of z = (i+z)^i in C (i is the imaginary unit). 3
1, 2, 5, 7, 6, 4, 5, 4, 5, 7, 3, 8, 6, 3, 8, 3, 2, 3, 8, 1, 5, 6, 1, 8, 5, 0, 8, 4, 1, 1, 8, 3, 6, 7, 7, 0, 1, 4, 4, 2, 3, 2, 4, 3, 4, 7, 3, 4, 0, 7, 6, 3, 5, 2, 0, 3, 4, 1, 7, 6, 7, 4, 9, 7, 6, 5, 0, 5, 0, 8, 9, 7, 0, 3, 3, 6, 7, 9, 1, 0, 8, 7, 1, 9, 7, 7, 9, 4, 7, 5, 7, 7, 3, 8, 8, 0, 9, 9, 3, 3, 3, 0, 9, 5, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
-1,2
COMMENTS
For more comments, see the real part in A290409.
LINKS
EXAMPLE
0.012576454573863832381561850841183677014423243473407635203417674...
MATHEMATICA
RealDigits[Im[z /. FindRoot[(I + z)^I == z, {z, 0}, WorkingPrecision -> 120]]][[1]] (* Amiram Eldar, May 30 2023 *)
PROG
(PARI) \p 3000 \\ Set precision
M(z)=(z+I)^I; \\ Mapping M
z=1.0; for(k=1, 2000, z=M(z)); \\ Initialize and iterate
d = -floor(log(abs(z-M(z)))/log(10)) \\ A crude convergence test
imag(z) \\ The result; keep << d digits, and test for stability.
CROSSREFS
Sequence in context: A257963 A167554 A202392 * A078320 A306992 A325437
KEYWORD
nonn,cons
AUTHOR
Stanislav Sykora, Jul 30 2017
STATUS
approved

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Last modified June 21 10:19 EDT 2024. Contains 373543 sequences. (Running on oeis4.)