A308742 Decimal expansion of BesselI(3/4,1/2)/BesselI(-1/4,1/2).

3, 1, 8, 3, 6, 6, 2, 4, 6, 7, 2, 8, 3, 1, 6, 4, 7, 1, 6, 8, 1, 9, 0, 8, 7, 0, 7, 6, 4, 4, 3, 8, 6, 9, 3, 4, 7, 3, 9, 9, 7, 9, 5, 3, 0, 1, 2, 4, 2, 1, 0, 4, 6, 3, 7, 6, 0, 3, 0, 6, 4, 2, 0, 4, 0, 5, 7, 5, 3, 3, 3, 8, 7, 5, 9, 3, 0, 1, 4, 2, 9, 0, 9, 4, 9, 7, 3, 7, 3, 3, 1, 1, 7, 8, 2, 0, 1, 1, 1, 6, 4, 4, 0, 0, 1, 4, 9, 1, 7, 1

Offset

0,1

Links

Table of n, a(n) for n=0..109.

Index entries for sequences related to Bessel functions or polynomials

Formula

Equals 1/(3 + 1/(7 + 1/(11 + 1/(15 + 1/(19 + 1/(23 + 1/(27 + 1/(31 + 1/(35 + 1/(39 + ...)))))))))).

Example

0.31836624672831647168190870764438693473997953012421...

Mathematica

RealDigits[BesselI[3/4, 1/2]/BesselI[-1/4, 1/2], 10, 110] [[1]]

Prog

(PARI) besseli(3/4, 1/2)/besseli(-1/4, 1/2) \\ Charles R Greathouse IV, Oct 23 2023

Crossrefs

Cf. A004767 (continued fraction), A298242, A308739, A308740, A308741, A308743, A308744.

Sequence in context: A130300 A366873 A345656 * A065451 A178148 A337681

Adjacent sequences: A308739 A308740 A308741 * A308743 A308744 A308745

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Jun 21 2019

Status

approved