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

0,1

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

Formula

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

Prog

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

Crossrefs

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

Sequence in context: A189041 A055444 A102383 * A266743 A284050 A308644

Adjacent sequences: A070910 A070911 A070912 * A070914 A070915 A070916

Keyword

cofr,easy,nonn

Author

Benoit Cloitre, May 20 2002

Status

approved