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 A040033 Continued fraction for sqrt(40). 2
 6, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Harry J. Smith, Table of n, a(n) for n = 0..20000 G. Xiao, Contfrac Index entries for linear recurrences with constant coefficients, signature (0, 1). FORMULA a(n) = (1/2)*(15 + 9*(-1)^n) - 6*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 09 2009 EXAMPLE 6.3245553203367586639977870... = 6 + 1/(3 + 1/(12 + 1/(3 + 1/(12 + ...)))). - Harry J. Smith, Jun 05 2009 MAPLE Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'): MATHEMATICA ContinuedFraction[Sqrt[40], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 06 2011 *) LinearRecurrence[{0, 1}, {6, 3, 12}, 100] (* or *) PadRight[{6}, 100, {12, 3}] (* Harvey P. Dale, Mar 03 2018 *) PROG (PARI) { allocatemem(932245000); default(realprecision, 32000); x=contfrac(sqrt(40)); for (n=0, 20000, write("b040033.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 05 2009 CROSSREFS Cf. A010494 Decimal expansion. - Harry J. Smith, Jun 05 2009 Sequence in context: A060534 A060445 A131894 * A165998 A322091 A050132 Adjacent sequences:  A040030 A040031 A040032 * A040034 A040035 A040036 KEYWORD nonn,cofr,easy AUTHOR STATUS approved

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Last modified July 17 20:45 EDT 2019. Contains 325109 sequences. (Running on oeis4.)