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%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
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