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A010154
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Continued fraction for sqrt(76).
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2
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8, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5, 4, 5, 1, 1, 2, 1, 16, 1, 2, 1, 1, 5
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| 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
| a(n)=(1/396)*{-475*(n mod 12)+53*[(n+1) mod 12]-13*[(n+2) mod 12]+20*[(n+3) mod 12]+152*[(n+4) mod 12]-13*[(n+5) mod 12]+53*[(n+6) mod 12]-112*[(n+7) mod 12]+20*[(n+8) mod 12]+53*[(n+9) mod 12]-13*[(n+10) mod 12]+515*[(n+11) mod 12]}-8*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 24 2009]
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EXAMPLE
| 8.717797887081347104473963967... = 8 + 1/(1 + 1/(2 + 1/(1 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[76], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 08 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(76)); for (n=0, 20000, write("b010154.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
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CROSSREFS
| Cf. A010528 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
Sequence in context: A176340 A111835 A198830 * A109011 A019763 A179050
Adjacent sequences: A010151 A010152 A010153 * A010155 A010156 A010157
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KEYWORD
| nonn,cofr
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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