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 A010153 Continued fraction for sqrt(75) (or 5*sqrt(3)). 4
 8, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16, 1, 1, 1, 16 (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 continued fractions for constants. Index entries for linear recurrences with constant coefficients, signature (0,0,0,1). FORMULA From Amiram Eldar, Nov 13 2023: (Start) Multiplicative with a(2) = 1, a(2^e) = 16 for e >= 2, and a(p^e) = 1 for an odd prime p. Dirichlet g.f.: zeta(s) * (1 + 15/4^s). (End) EXAMPLE 8.66025403784438646763723170... = 8 + 1/(1 + 1/(1 + 1/(1 + 1/(16 + ...)))). - Harry J. Smith, Jun 02 2009 MATHEMATICA ContinuedFraction[Sqrt[75], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *) PROG (PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(75)); for (n=0, 20000, write("b010153.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 02 2009 CROSSREFS Cf. A010527. Sequence in context: A276405 A066341 A181064 * A360970 A363918 A133421 Adjacent sequences: A010150 A010151 A010152 * A010154 A010155 A010156 KEYWORD nonn,cofr,easy,mult AUTHOR N. J. A. Sloane STATUS approved

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)