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A041235 Denominators of continued fraction convergents to sqrt(129). 2
1, 2, 3, 11, 14, 95, 109, 422, 531, 1484, 33179, 67842, 101021, 370905, 471926, 3202461, 3674387, 14225622, 17900009, 50025640, 1118464089, 2286953818, 3405417907, 12503207539, 15908625446, 107954960215, 123863585661, 479545717198, 603409302859 (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 (0,0,0,0,0,0,0,0,0,33710,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^18 -2*x^17 +3*x^16 -11*x^15 +14*x^14 -95*x^13 +109*x^12 -422*x^11 +531*x^10 -1484*x^9 -531*x^8 -422*x^7 -109*x^6 -95*x^5 -14*x^4 -11*x^3 -3*x^2 -2*x -1) / (x^20 -33710*x^10 +1). - Colin Barker, Nov 14 2013

a(n) = 33710*a(n-10) - a(n-20). - Vincenzo Librandi, Dec 13 2013

MATHEMATICA

Denominator[Convergents[Sqrt[129], 30]] (* Vincenzo Librandi, Dec 13 2013 *)

PROG

(MAGMA) I:=[1, 2, 3, 11, 14, 95, 109, 422, 531, 1484, 33179, 67842, 101021, 370905, 471926, 3202461, 3674387, 14225622, 17900009, 50025640]; [n le 20 select I[n] else 33710*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 13 2013

CROSSREFS

Cf. A041234, A010190.

Sequence in context: A041029 A158353 A158355 * A036972 A041637 A042235

Adjacent sequences:  A041232 A041233 A041234 * A041236 A041237 A041238

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 14 2013

STATUS

approved

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Last modified October 16 20:23 EDT 2019. Contains 328103 sequences. (Running on oeis4.)