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A041915
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Denominators of continued fraction convergents to sqrt(479).
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2
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1, 1, 8, 9, 35, 79, 1694, 3467, 12095, 15562, 121029, 136591, 5857851, 5994442, 47818945, 53813387, 209259106, 472331599, 10128222685, 20728776969, 72314553592, 93043330561, 723617867519, 816661198080, 35023388186879, 35840049384959
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OFFSET
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0,3
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5978880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
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FORMULA
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G.f.: -(x^22 -x^21 +8*x^20 -9*x^19 +35*x^18 -79*x^17 +1694*x^16 -3467*x^15 +12095*x^14 -15562*x^13 +121029*x^12 -136591*x^11 -121029*x^10 -15562*x^9 -12095*x^8 -3467*x^7 -1694*x^6 -79*x^5 -35*x^4 -9*x^3 -8*x^2 -x -1)/(x^24 -5978880*x^12 +1). - Vincenzo Librandi, Dec 27 2013
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MATHEMATICA
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Denominator[Convergents[Sqrt[479], 30]] (* or *) CoefficientList[Series[-(x^22 - x^21 + 8 x^20 - 9 x^19 + 35 x^18 - 79 x^17 + 1694 x^16 - 3467 x^15 + 12095 x^14 - 15562 x^13 + 121029 x^12 - 136591 x^11 - 121029 x^10 - 15562 x^9 - 12095 x^8 - 3467 x^7 - 1694 x^6 - 79 x^5 - 35 x^4 - 9 x^3 - 8 x^2 - x - 1)/(x^24 - 5978880 x^12 + 1), {x, 0, 40}], x] (* Vincenzo Librandi, Dec 27 2013 *)
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PROG
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(Magma) I:=[1, 1, 8, 9, 35, 79, 1694, 3467, 12095, 15562, 121029, 136591, 5857851, 5994442, 47818945, 53813387, 209259106, 472331599, 10128222685, 20728776969, 72314553592, 93043330561, 723617867519, 816661198080]; [n le 24 select I[n] else 5978880*Self(n-12)-Self(n-24): n in [1..40]]; // Vincenzo Librandi, Dec 27 2013
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CROSSREFS
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KEYWORD
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nonn,frac,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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