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 A040295 Continued fraction for sqrt(313). 0
 17, 1, 2, 4, 11, 1, 1, 3, 2, 2, 3, 1, 1, 11, 4, 2, 1, 34, 1, 2, 4, 11, 1, 1, 3, 2, 2, 3, 1, 1, 11, 4, 2, 1, 34, 1, 2, 4, 11, 1, 1, 3, 2, 2, 3, 1, 1, 11, 4, 2, 1, 34, 1, 2, 4, 11, 1, 1, 3, 2, 2, 3, 1, 1, 11, 4, 2, 1, 34, 1, 2, 4, 11, 1, 1, 3, 2, 2, 3, 1, 1, 11, 4, 2, 1, 34 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1). FORMULA a(n)=(1/578)*{-1101*(n mod 17)+55*[(n+1) mod 17]+89*[(n+2) mod 17]+259*[(n+3) mod 17]-319*[(n+4) mod 17]+21*[(n+5) mod 17]+89*[(n+6) mod 17]-13*[(n+7) mod 17]+21*[(n+8) mod 17]+55*[(n+9) mod 17]-47*[(n+10) mod 17]+21*[(n+11) mod 17]+361*[(n+12) mod 17]-217*[(n+13) mod 17]-47*[(n+14) mod 17]-13*[(n+15) mod 17]+1143*[(n+16) mod 17]}-17*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 27 2009] MAPLE with(numtheory): Digits := 300: convert(evalf(sqrt(313)), confrac); MATHEMATICA ContinuedFraction[Sqrt[313], 120] (* or *) PadRight[{17}, 120, {34, 1, 2, 4, 11, 1, 1, 3, 2, 2, 3, 1, 1, 11, 4, 2, 1}] (* Harvey P. Dale, Feb 25 2015 *) CROSSREFS Sequence in context: A040296 A040297 A239866 * A040298 A040300 A040299 Adjacent sequences:  A040292 A040293 A040294 * A040296 A040297 A040298 KEYWORD nonn,cofr,easy AUTHOR STATUS approved

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Last modified March 21 04:59 EDT 2019. Contains 321364 sequences. (Running on oeis4.)