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A041429 Denominators of continued fraction convergents to sqrt(230). 2
1, 6, 181, 1092, 32941, 198738, 5995081, 36169224, 1091071801, 6582600030, 198569072701, 1197997036236, 36138480159781, 218028877994922, 6577004820007441, 39680057798039568, 1196978738761194481, 7221552490365206454, 217843553449717388101 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 182, 0, -1).

FORMULA

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

MATHEMATICA

Denominator[Convergents[Sqrt[230], 30]] (* Vincenzo Librandi, Dec 17 2013 *)

PROG

(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

CROSSREFS

Cf. A041428, A040214, A176909.

Sequence in context: A051357 A251671 A064120 * A089905 A222887 A012208

Adjacent sequences:  A041426 A041427 A041428 * A041430 A041431 A041432

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 17 2013

STATUS

approved

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Last modified November 30 11:07 EST 2021. Contains 349419 sequences. (Running on oeis4.)