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 A040261 Continued fraction for sqrt(278). 1
 16, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2, 16, 2, 1, 32, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..80. Index entries for continued fractions for constants. Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1). FORMULA From Amiram Eldar, Nov 29 2023: (Start) Multiplicative with a(2^e) = 2, a(3^e) = 16, and a(p^e) = 1 for p >= 5. Dirichlet g.f.: zeta(s) * (1 + 1/2^s) * (1 + 5/3^(s-1)). (End) MAPLE with(numtheory): Digits := 300: convert(evalf(sqrt(278)), confrac); MATHEMATICA ContinuedFraction[Sqrt[278], 100] (* or *) PadRight[{16}, 100, {32, 1, 2, 16, 2, 1}] (* Harvey P. Dale, Apr 04 2023 *) CROSSREFS Sequence in context: A040263 A082696 A040262 * A040265 A040264 A040266 Adjacent sequences: A040258 A040259 A040260 * A040262 A040263 A040264 KEYWORD nonn,cofr,easy,mult AUTHOR N. J. A. Sloane STATUS approved

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Last modified May 29 22:36 EDT 2024. Contains 372954 sequences. (Running on oeis4.)