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A041531
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Denominators of continued fraction convergents to sqrt(282).
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2
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1, 1, 4, 5, 24, 29, 111, 140, 4591, 4731, 18784, 23515, 112844, 136359, 521921, 658280, 21586881, 22245161, 88322364, 110567525, 530592464, 641159989, 2454072431, 3095232420, 101501509871, 104596742291, 415291736744, 519888479035, 2494845652884
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OFFSET
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0,3
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 4702, 0, 0, 0, 0, 0, 0, 0, -1).
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FORMULA
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G.f.: -(x^2-x-1)*(x^4+5*x^2+1)*(x^8+28*x^4+1) / (x^16-4702*x^8+1). - Colin Barker, Nov 18 2013
a(n) = 4702*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 19 2013
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MATHEMATICA
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Denominator[Convergents[Sqrt[282], 30]] (* Vincenzo Librandi, Dec 19 2013 *)
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PROG
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(MAGMA) I:=[1, 1, 4, 5, 24, 29, 111, 140, 4591, 4731, 18784, 23515, 112844, 136359, 521921, 658280]; [n le 16 select I[n] else 4702*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 19 2013
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CROSSREFS
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Cf. A041530, A040265.
Sequence in context: A063986 A039583 A042123 * A089499 A249060 A042601
Adjacent sequences: A041528 A041529 A041530 * A041532 A041533 A041534
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KEYWORD
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nonn,frac,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Colin Barker, Nov 18 2013
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STATUS
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approved
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