Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #14 Jun 11 2023 02:54:36
%S 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,
%T 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,
%U 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
%N Decimal expansion of the imaginary part of the continued fraction i/(Pi+i/(Pi+i/(...))).
%C Here, i is the imaginary unit sqrt(-1).
%C For the real part of this constant, and for more comments, see A263210.
%H Stanislav Sykora, <a href="/A263211/b263211.txt">Table of n, a(n) for n = 0..2000</a>
%F Equals the imaginary part of (sqrt(Pi^2+4*i)-Pi)/2.
%e 0.312203069208072004947893260595688268193923300966103587044863000808...
%t RealDigits[Im[(Sqrt[Pi^2 + 4*I] - Pi)/2], 10, 120][[1]] (* _Amiram Eldar_, Jun 11 2023 *)
%o (PARI) imag((-Pi+sqrt(Pi^2+4*I))/2)
%Y Cf. A000796, A263210.
%K nonn,cons
%O 0,1
%A _Stanislav Sykora_, Oct 12 2015