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A010143
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Continued fraction for sqrt(58).
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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
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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, 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, Jun 07 2009]
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MATHEMATICA
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ContinuedFraction[Sqrt[58], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 07 2011*)
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PROG
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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, Jun 07 2009]
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CROSSREFS
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Cf. A010511 Decimal expansion. [From Harry J. Smith, Jun 07 2009]
Sequence in context: A081229 A109010 A117825 * A101027 A129408 A170824
Adjacent sequences: A010140 A010141 A010142 * 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.
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STATUS
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approved
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