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Search: id:A010151
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| A010151 |
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Continued fraction for sqrt(73). |
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+0
2
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| 8, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 1, 1, 16, 1, 1, 5, 5, 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)=(1/49)*{-95*(n mod 7)+10*[(n+1) mod 7]+38*[(n+2) mod 7]+10*[(n+3) mod 7]-18*[(n+4) mod 7]+10*[(n+5) mod 7]+115*[(n+6) mod 7]}-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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8.544003745317531167871648326... = 8 + 1/(1 + 1/(1 + 1/(5 + 1/(5 + ...)))) [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(73)); for (n=0, 20000, write("b010151.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. A010525 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
Sequence in context: A154015 A153621 A159822 this_sequence A021556 A109571 A133823
Adjacent sequences: A010148 A010149 A010150 this_sequence A010152 A010153 A010154
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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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