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A010175
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Continued fraction for sqrt(109).
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1
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10, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..999
G. Xiao, Contfrac
Index entries for continued fractions for constants
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
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FORMULA
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a(n) = (1/1575)*(-1832*(n mod 15) + 163*((n+1) mod 15) - 152*((n+2) mod 15) + 163*((n+3) mod 15) + 268*((n+4) mod 15) - 257*((n+5) mod 15) + 583*((n+6) mod 15) + 58*((n+7) mod 15) - 467*((n+8) mod 15) + 373*((n+9) mod 15) - 152*((n+10) mod 15) - 47*((n+11) mod 15) + 268*((n+12) mod 15) - 47*((n+13) mod 15) + 1948*((n+14) mod 15)) - 10*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 24 2009
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MATHEMATICA
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ContinuedFraction[Sqrt[109], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 11 2011 *)
PadRight[{10}, 120, {20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2}] (* Harvey P. Dale, May 29 2016 *)
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CROSSREFS
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Sequence in context: A265994 A201278 A232589 * A323421 A306321 A160136
Adjacent sequences: A010172 A010173 A010174 * A010176 A010177 A010178
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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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