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Search: id:A010153
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| A010153 |
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Continued fraction for sqrt(75) (or 5*sqrt(5)). |
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+0
2
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| 8, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16
(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)=(1/24)*{-71*(n mod 4)+19*[(n+1) mod 4]+19*[(n+2) mod 4]+109*[(n+3) mod 4]}-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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8.66025403784438646763723170... = 8 + 1/(1 + 1/(1 + 1/(1 + 1/(16 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(75)); for (n=0, 20000, write("b010153.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]
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CROSSREFS
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Cf. A010527.
Sequence in context: A010152 A011264 A066341 this_sequence A133421 A128881 A154015
Adjacent sequences: A010150 A010151 A010152 this_sequence A010154 A010155 A010156
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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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