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 A051149 Continued fraction for BesselK(1,2)/BesselK(0,2). 4

%I

%S 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,

%T 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,

%U 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

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

%H Harry J. Smith, <a href="/A051149/b051149.txt">Table of n, a(n) for n = 0..2000</a>

%H <a href="/index/Be#Bessel">Index entries for sequences related to Bessel functions or polynomials</a>

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%e 1.228036929818907975742672452...

%e BesselK(1,2)/BesselK(0,2) = 1 + 1/(4 + 1/(2 + 1/(1 + 1/(1 + ...)))). - _Harry J. Smith_, Apr 29 2009

%t ContinuedFraction[BesselK[1,2]/BesselK[0,2],90] (* _Harvey P. Dale_, Sep 07 2018 *)

%o (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

%Y Cf. A051148, A000994, A000995.

%K nonn,cofr

%O 0,2

%A _N. J. A. Sloane_, E. M. Rains

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Last modified June 25 09:48 EDT 2019. Contains 324347 sequences. (Running on oeis4.)
The text passage is an entry from the Online Encyclopedia of Integer Sequences (OEIS) describing a continued fraction for the ratio of two Bessel functions. It includes the sequence, references, and a few examples.
no_question

the passage does not contain any explicit mathematical question or request for a calculation. it is purely descriptive and provides information about a specific mathematical sequence.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A051149 Continued fraction for BesselK(1,2)/BesselK(0,2). 4

%I

%S 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,

%T 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,

%U 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

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

%H Harry J. Smith, <a href="/A051149/b051149.txt">Table of n, a(n) for n = 0..2000</a>

%H <a href="/index/Be#Bessel">Index entries for sequences related to Bessel functions or polynomials</a>

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%e 1.228036929818907975742672452...

%e BesselK(1,2)/BesselK(0,2) = 1 + 1/(4 + 1/(2 + 1/(1 + 1/(1 + ...)))). - _Harry J. Smith_, Apr 29 2009

%t ContinuedFraction[BesselK[1,2]/BesselK[0,2],90] (* _Harvey P. Dale_, Sep 07 2018 *)

%o (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

%Y Cf. A051148, A000994, A000995.

%K nonn,cofr

%O 0,2

%A _N. J. A. Sloane_, E. M. Rains

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
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Last modified June 25 09:48 EDT 2019. Contains 324347 sequences. (Running on oeis4.)
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The text passage is an entry from the Online Encyclopedia of Integer Sequences (OEIS) describing a continued fraction for the ratio of two Bessel functions. It includes the sequence, references, and a few examples.

TYPE: NO_QUESTION

The passage does not contain any explicit mathematical question or request for a calculation. It is purely descriptive and provides information about a specific mathematical sequence.