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A041429
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Denominators of continued fraction convergents to sqrt(230).
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2
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1, 6, 181, 1092, 32941, 198738, 5995081, 36169224, 1091071801, 6582600030, 198569072701, 1197997036236, 36138480159781, 218028877994922, 6577004820007441, 39680057798039568, 1196978738761194481, 7221552490365206454, 217843553449717388101
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OFFSET
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0,2
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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, 182, 0, -1).
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FORMULA
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G.f.: -(x^2-6*x-1) / (x^4-182*x^2+1). - Colin Barker, Nov 17 2013
a(n) = 182*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 17 2013
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MATHEMATICA
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Denominator[Convergents[Sqrt[230], 30]] (* Vincenzo Librandi, Dec 17 2013 *)
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PROG
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(Magma) I:=[1, 6, 181, 1092]; [n le 4 select I[n] else 182*Self(n-2)-Self(n-4): n in [1..100]]; // Vincenzo Librandi, Dec 17 2013
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CROSSREFS
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Cf. A041428, A040214, A176909.
Sequence in context: A051357 A251671 A064120 * A089905 A222887 A012208
Adjacent sequences: A041426 A041427 A041428 * A041430 A041431 A041432
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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 17 2013
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STATUS
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approved
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