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 A040520 Continued fraction for sqrt(544). 1
 23, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..74. Index entries for continued fractions for constants Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1). FORMULA From Wesley Ivan Hurt, Apr 16 2024: (Start) a(n) = (63 + 51*(-1)^n + 70*cos(n*Pi/2))/4, for n>=1, with a(0) = 23. a(n+4) = a(n) for n>=1. (End) MAPLE with(numtheory): Digits := 300: convert(evalf(sqrt(544)), confrac); MATHEMATICA ContinuedFraction[Sqrt[544], 80] (* or *) PadRight[{23}, 80, {46, 3, 11, 3, 46, 3, 11, 3}] (* Harvey P. Dale, Aug 14 2014 *) CROSSREFS Sequence in context: A354206 A040517 A040519 * A271473 A317323 A040515 Adjacent sequences: A040517 A040518 A040519 * A040521 A040522 A040523 KEYWORD nonn,cofr,easy,less AUTHOR N. J. A. Sloane. STATUS approved

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Last modified July 24 15:34 EDT 2024. Contains 374584 sequences. (Running on oeis4.)