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Search: id:A010155
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| A010155 |
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Continued fraction for sqrt(77). |
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+0
2
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| 8, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3
(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)=(1/90)*{-199*(n mod 6)+56*[(n+1) mod 6]+11*[(n+2) mod 6]+41*[(n+3) mod 6]-4*[(n+4) mod 6]+251*[(n+5) mod 6]}-8*[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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8.774964387392122060406388307... = 8 + 1/(1 + 1/(3 + 1/(2 + 1/(3 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 20000); x=contfrac(sqrt(77)); for (n=0, 20000, write("b010155.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
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CROSSREFS
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Cf. A010529 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
Sequence in context: A140242 A156944 A021127 this_sequence A019607 A011391 A092515
Adjacent sequences: A010152 A010153 A010154 this_sequence A010156 A010157 A010158
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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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