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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
OFFSET
0,2
LINKS
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 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 33710, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 2, 3, 11, 14, 95, 109, 422, 531, 1484, 33179, 67842, 101021, 370905, 471926, 3202461, 3674387, 14225622, 17900009, 50025640}, 30] (* Harvey P. Dale, Nov 05 2020 *)
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
Sequence in context: A041029 A158353 A158355 * A036972 A041637 A042235
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 14 2013
STATUS
approved