

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
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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



KEYWORD



AUTHOR



STATUS

approved



