A070913 Continued fraction expansion for BesselI(0,2).

2, 3, 1, 1, 2, 1, 3, 7, 4, 3, 1, 2, 2, 1, 2, 1, 1, 2, 7, 8, 1, 1, 21, 1, 16, 2, 1, 8, 1, 1, 8, 1, 35, 1, 2, 1, 1, 4, 1, 1, 1, 3, 132, 3, 1, 10, 2, 1, 1, 1, 1, 2, 2, 6, 100, 1, 1, 26, 1, 66, 1, 2, 16, 1, 4, 52, 2, 1, 1, 1, 16, 8, 1, 3, 172, 1, 3, 1, 3, 3, 1, 13, 1, 5, 2, 1, 4, 3, 1, 3, 4, 7, 1, 1, 23, 1

Offset: 0

Author

Benoit Cloitre, May 20 2002

Keywords

• cofr
• easy
• nonn

Comments

The continued fraction terms satisfy the Gauss-Kuzmin distribution. - A.H.M. Smeets, Aug 21 2018

Links

• A.H.M. Smeets, Table of n, a(n) for n = 0..20000

Crossrefs

Cf. A070910 (decimal expansion). - A.H.M. Smeets, Aug 21 2018

Programs

PARI

contfrac(besseli(0,2)) \\ Charles R Greathouse IV, Feb 19 2014

Formula

BesselI(0, 2) = sum(k=>0, 1/k!^2) = 2.27958530233...