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A041341 Denominators of continued fraction convergents to sqrt(184). 2
1, 1, 2, 7, 16, 23, 62, 85, 232, 781, 1013, 1794, 47657, 49451, 97108, 340775, 778658, 1119433, 3017524, 4136957, 11291438, 38011271, 49302709, 87313980, 2319466189, 2406780169, 4726246358, 16585519243, 37897284844, 54482804087, 146862893018, 201345697105 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48670, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^22 -x^21 +2*x^20 -7*x^19 +16*x^18 -23*x^17 +62*x^16 -85*x^15 +232*x^14 -781*x^13 +1013*x^12 -1794*x^11 -1013*x^10 -781*x^9 -232*x^8 -85*x^7 -62*x^6 -23*x^5 -16*x^4 -7*x^3 -2*x^2 -x -1) / (x^24 -48670*x^12 +1). - Colin Barker, Nov 15 2013
a(n) = 48670*a(n-12) - a(n-24). - Vincenzo Librandi, Dec 16 2013
MATHEMATICA
Denominator[Convergents[Sqrt[184], 30]] (* Vincenzo Librandi, Dec 16 2013 *)
PROG
(Magma) I:=[1, 1, 2, 7, 16, 23, 62, 85, 232, 781, 1013, 1794, 47657, 49451, 97108, 340775, 778658, 1119433, 3017524, 4136957, 11291438, 38011271, 49302709, 87313980]; [n le 24 select I[n] else 48670*Self(n-12)-Self(n-24): n in [1..40]]; // Vincenzo Librandi, Dec 16 2013
CROSSREFS
Sequence in context: A167236 A041573 A211053 * A296857 A229595 A083508
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 15 2013
STATUS
approved

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Last modified April 19 02:28 EDT 2024. Contains 371782 sequences. (Running on oeis4.)