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Search: id:A040077
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| A040077 |
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Continued fraction for sqrt(87). |
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+0
2
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| 9, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,20000
G. Xiao, Contfrac
Index entries for continued fractions for constants
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FORMULA
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a(n)=(1/2)[21+15*(-1)^n]-9*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jun 10 2009]
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EXAMPLE
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9.3273790530888150455544755... = 9 + 1/(3 + 1/(18 + 1/(3 + 1/(18 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
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MAPLE
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Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 36000); x=contfrac(sqrt(87)); for (n=0, 20000, write("b040077.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
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CROSSREFS
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Cf. A010538 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
Sequence in context: A003565 A166203 A103935 this_sequence A038293 A119516 A116393
Adjacent sequences: A040074 A040075 A040076 this_sequence A040078 A040079 A040080
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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