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Search: id:A010150
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| A010150 |
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Continued fraction for sqrt(71). |
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+0
3
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| 8, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 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)=(1/224)*{-359*(n mod 8)+33*[(n+1) mod 8]+5*[(n+2) mod 8]+201*[(n+3) mod 8]-135*[(n+4) mod 8]+61*[(n+5) mod 8]+33*[(n+6) mod 8]+425*[(n+7) mod 8]}-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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8.426149773176358630634139906... = 8 + 1/(2 + 1/(2 + 1/(1 + 1/(7 + ...)))) [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, 20000); x=contfrac(sqrt(71)); for (n=0, 20000, write("b010150.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. A010523 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
Adjacent sequences: A010147 A010148 A010149 this_sequence A010151 A010152 A010153
Sequence in context: A147868 A073442 A130617 this_sequence A136711 A037920 A138997
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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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