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Search: id:A010170
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| A010170 |
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Continued fraction for sqrt(99). |
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+0
2
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| 9, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1
(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)*[19+17*(-1)^n]-9*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jul 24 2009]
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EXAMPLE
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9.9498743710661995473447982... = 9 + 1/(1 + 1/(18 + 1/(1 + 1/(18 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 12 2009]
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 27000); x=contfrac(sqrt(99)); for (n=0, 20000, write("b010170.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 12 2009]
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CROSSREFS
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Cf. A010550 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 12 2009]
Sequence in context: A145966 A014721 A054018 this_sequence A013616 A092477 A019433
Adjacent sequences: A010167 A010168 A010169 this_sequence A010171 A010172 A010173
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KEYWORD
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nonn,cofr
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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