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A010149
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Continued fraction for sqrt(70).
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2
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8, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| 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
| a(n)=(1/30)*{-62*(n mod 6)+3*[(n+1) mod 6]+13*[(n+2) mod 6]+3*[(n+3) mod 6]+13*[(n+4) mod 6]+78*[(n+5) mod 6]}-8*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 24 2009]
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EXAMPLE
| 8.366600265340755479781720257... = 8 + 1/(2 + 1/(1 + 1/(2 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[70], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 08 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 19000); x=contfrac(sqrt(70)); for (n=0, 20000, write("b010149.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
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CROSSREFS
| Cf. A010522 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
Sequence in context: A080729 A164800 A011008 * A199796 A021553 A157472
Adjacent sequences: A010146 A010147 A010148 * A010150 A010151 A010152
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KEYWORD
| nonn,cofr
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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