A070913 - OEIS

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

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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