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A010125
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Continued fraction for sqrt(21).
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2
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4, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 8, 1, 1
(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)=(1/90)*{-91*(n mod 6)+14*[(n+1) mod 6]+29*[(n+2) mod 6]-[(n+3) mod 6]+14*[(n+4) mod 6]+119*[(n+5) mod 6]}-4*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jun 11 2009]
a(n)= GCD(Fibonacci(n),Fibonacci(n-6)), n>0 [From Gary Detlefs (gdetlefs(AT)aol.com), Dec 29 2010]
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EXAMPLE
| 4.582575694955840006588047193... = 4 + 1/(1 + 1/(1 + 1/(2 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[21], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 05 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 14000); x=contfrac(sqrt(21)); for (n=0, 20000, write("b010125.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
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CROSSREFS
| Cf. A010477 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
Sequence in context: A183102 A178649 A119591 * A010324 A016525 A077604
Adjacent sequences: A010122 A010123 A010124 * A010126 A010127 A010128
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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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