A263211 Decimal expansion of the imaginary part of the continued fraction i/(Pi+i/(Pi+i/(...))).

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

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

Stanislav Sykora, Table of n, a(n) for n = 0..2000

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

Cf. A000796, A263210.

Sequence in context: A016570 A070773 A046804 * A287571 A214316 A236452

Adjacent sequences: A263208 A263209 A263210 * A263212 A263213 A263214

Keyword

nonn,cons

Author

Stanislav Sykora, Oct 12 2015

Status

approved