A308743 Decimal expansion of BesselI(1/5,2/5)/BesselI(-4/5,2/5).

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

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/(1 + 1/(6 + 1/(11 + 1/(16 + 1/(21 + 1/(26 + 1/(31 + 1/(36 + 1/(41 + 1/(46 + ...)))))))))).

Example

0.858964173516036374075328952007099194273985...

Mathematica

RealDigits[BesselI[1/5, 2/5]/BesselI[-4/5, 2/5], 10, 110] [[1]]

Prog

(PARI) besseli(1/5, 2/5)/besseli(-4/5, 2/5) \\ Charles R Greathouse IV, Oct 23 2023

Crossrefs

Cf. A016861 (continued fraction), A298243, A308739, A308740, A308741, A308742, A308744.

Sequence in context: A336058 A198136 A328942 * A305582 A144454 A074071

Adjacent sequences: A308740 A308741 A308742 * A308744 A308745 A308746

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Jun 21 2019

Status

approved