A308741 Decimal expansion of BesselI(1/4,1/2)/BesselI(-3/4,1/2).

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

Offset

0,1

Links

Table of n, a(n) for n=0..108.

Index entries for sequences related to Bessel functions or polynomials

Formula

Equals 1/(1 + 1/(5 + 1/(9 + 1/(13 + 1/(17 + 1/(21 + 1/(25 + 1/(29 + 1/(33 + 1/(37 + ...)))))))))).

Example

0.83633853120129660076367279911746782943585...

Mathematica

RealDigits[BesselI[1/4, 1/2]/BesselI[-3/4, 1/2], 10, 109] [[1]]

Prog

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

Crossrefs

Cf. A016813 (continued fraction), A298242, A308739, A308740, A308742, A308743, A308744.

Sequence in context: A365959 A005601 A321098 * A304580 A304583 A104697

Adjacent sequences: A308738 A308739 A308740 * A308742 A308743 A308744

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Jun 21 2019

Status

approved