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Search: id:A010126
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| A010126 |
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Continued fraction for sqrt(22). |
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+0
2
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| 4, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2
(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)=(1/30)*{-29*(n mod 6)+11*[(n+1) mod 6]+16*[(n+2) mod 6]-4*[(n+3) mod 6]+[(n+4) mod 6]+41*[(n+5) mod 6]}-4*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jun 11 2009]
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EXAMPLE
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4.690415759823429554565630113... = 4 + 1/(1 + 1/(2 + 1/(4 + 1/(2 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(22)); for (n=0, 20000, write("b010126.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
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CROSSREFS
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Cf. A010478 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
Sequence in context: A100353 A080508 A063987 this_sequence A021712 A014571 A152523
Adjacent sequences: A010123 A010124 A010125 this_sequence A010127 A010128 A010129
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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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