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Search: id:A010147
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| A010147 |
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Continued fraction for sqrt(67). |
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+0
3
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| 8, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 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)=(1/450)*{-454*(n mod 10)-94*[(n+1) mod 10]-4*[(n+2) mod 10]+41*[(n+3) mod 10]+311*[(n+4) mod 10]-229*[(n+5) mod 10]+41*[(n+6) mod 10]+86*[(n+7) mod 10]+176*[(n+8) mod 10]+536*[(n+9) mod 10]}-8*[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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8.185352771872449969953703724... = 8 + 1/(5 + 1/(2 + 1/(1 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(67)); for (n=0, 20000, write("b010147.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
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CROSSREFS
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Cf. A010519 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
Sequence in context: A021058 A036792 A154735 this_sequence A117035 A140133 A116397
Adjacent sequences: A010144 A010145 A010146 this_sequence A010148 A010149 A010150
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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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