A051149 Continued fraction for BesselK(1,2)/BesselK(0,2).

1, 4, 2, 1, 1, 2, 8, 1, 6, 1, 4, 2, 1, 8, 1, 1, 7, 1, 6, 4, 2, 1, 6, 1, 1, 2, 1, 1, 1, 2, 5, 1, 3, 3, 1, 3, 1, 8, 1, 1, 1, 1, 1, 2, 3, 8, 3, 29, 1, 7, 1, 57, 1, 121, 2, 14, 2, 8, 1, 1, 16, 1, 3, 1, 5, 1, 5, 1, 4, 17, 1, 5, 6, 1, 3, 2, 9, 7, 1, 4, 4, 1, 1, 16, 3, 5, 2, 1, 2, 1

Offset

0,2

Links

Harry J. Smith, Table of n, a(n) for n = 0..2000

G. Xiao, Contfrac

Index entries for sequences related to Bessel functions or polynomials

Index entries for continued fractions for constants

Example

1.228036929818907975742672452...
BesselK(1,2)/BesselK(0,2) = 1 + 1/(4 + 1/(2 + 1/(1 + 1/(1 + ...)))). - Harry J. Smith, Apr 29 2009

Mathematica

ContinuedFraction[BesselK[1, 2]/BesselK[0, 2], 90] (* Harvey P. Dale, Sep 07 2018 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 2100); x=contfrac(besselk(1, 2)/besselk(0, 2)); for (n=1, 2001, write("b051149.txt", n-1, " ", x[n])); } \\ Harry J. Smith, Apr 29 2009

Crossrefs

Cf. A051148, A000994, A000995.

Sequence in context: A247642 A144260 A097526 * A293424 A152145 A288251

Adjacent sequences: A051146 A051147 A051148 * A051150 A051151 A051152

Keyword

nonn,cofr

Author

N. J. A. Sloane, E. M. Rains

Status

approved