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 A040013 Continued fraction for sqrt(18). 2
 4, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4 (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) = 6 + 2*(-1)^n - 4*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Mar 03 2008 EXAMPLE 4.242640687119285146405066172... = 4 + 1/(4 + 1/(8 + 1/(4 + 1/(8 + ...)))). - Harry J. Smith, Jun 03 2009 MAPLE Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'): P:=proc(n) local i; for i from 0 by 1 to n do print(6+2*(-1)^i-4*(binomial(2*i, i) mod 2)); od; end: P(100); # Paolo P. Lava, Mar 03 2008 MATHEMATICA ContinuedFraction[Sqrt[18], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *) PROG (PARI) { allocatemem(932245000); default(realprecision, 31000); x=contfrac(sqrt(18)); for (n=0, 20000, write("b040013.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 03 2009 CROSSREFS Cf. A010474 Decimal expansion. - Harry J. Smith, Jun 03 2009 Sequence in context: A176295 A140874 A021227 * A153132 A167275 A273333 Adjacent sequences:  A040010 A040011 A040012 * A040014 A040015 A040016 KEYWORD nonn,cofr,easy AUTHOR STATUS approved

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Last modified January 21 16:22 EST 2020. Contains 331114 sequences. (Running on oeis4.)