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Search: id:A010143
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| A010143 |
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Continued fraction for sqrt(58). |
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+0
2
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| 7, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 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)=(1/147)*{-253*(n mod 7)+20*[(n+1) mod 7]+20*[(n+2) mod 7]+20*[(n+3) mod 7]+20*[(n+4) mod 7]+20*[(n+5) mod 7]+293*[(n+6) mod 7]}-7*[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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7.615773105863908285661411027... = 7 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 14000); x=contfrac(sqrt(58)); for (n=0, 20000, write("b010143.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
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CROSSREFS
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Cf. A010511 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
Sequence in context: A081229 A109010 A117825 this_sequence A101027 A129408 A140213
Adjacent sequences: A010140 A010141 A010142 this_sequence A010144 A010145 A010146
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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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