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A263211 Decimal expansion of the imaginary part of the continued fraction i/(Pi+i/(Pi+i/(...))). 2
3, 1, 2, 2, 0, 3, 0, 6, 9, 2, 0, 8, 0, 7, 2, 0, 0, 4, 9, 4, 7, 8, 9, 3, 2, 6, 0, 5, 9, 5, 6, 8, 8, 2, 6, 8, 1, 9, 3, 9, 2, 3, 3, 0, 0, 9, 6, 6, 1, 0, 3, 5, 8, 7, 0, 4, 4, 8, 6, 3, 0, 0, 0, 8, 0, 8, 1, 7, 5, 2, 1, 6, 5, 2, 7, 8, 9, 9, 1, 7, 7, 5, 1, 8, 1, 0, 6, 2, 5, 9, 7, 7, 7, 9, 2, 4, 5, 0, 6, 5, 7, 8, 8, 8, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Here, i is the imaginary unit sqrt(-1).
For the real part of this constant, and for more comments, see A263210.
LINKS
FORMULA
Equals the imaginary part of (sqrt(Pi^2+4*i)-Pi)/2.
EXAMPLE
0.312203069208072004947893260595688268193923300966103587044863000808...
MATHEMATICA
RealDigits[Im[(Sqrt[Pi^2 + 4*I] - Pi)/2], 10, 120][[1]] (* Amiram Eldar, Jun 11 2023 *)
PROG
(PARI) imag((-Pi+sqrt(Pi^2+4*I))/2)
CROSSREFS
Sequence in context: A016570 A070773 A046804 * A287571 A214316 A236452
KEYWORD
nonn,cons
AUTHOR
Stanislav Sykora, Oct 12 2015
STATUS
approved

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Last modified May 29 08:50 EDT 2024. Contains 372926 sequences. (Running on oeis4.)