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A041787
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Denominators of continued fraction convergents to sqrt(414).
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2
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1, 2, 3, 23, 49, 366, 415, 1196, 48255, 97706, 145961, 1119433, 2384827, 17813222, 20198049, 58209320, 2348570849, 4755351018, 7103921867, 54482804087, 116069530041, 866969514374, 983039044415, 2833047603204, 114304943172575, 231442933948354
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OFFSET
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0,2
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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, 48670, 0, 0, 0, 0, 0, 0, 0, -1).
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FORMULA
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G.f.: -(x^14 -2*x^13 +3*x^12 -23*x^11 +49*x^10 -366*x^9 +415*x^8 -1196*x^7 -415*x^6 -366*x^5 -49*x^4 -23*x^3 -3*x^2 -2*x -1) / (x^16 -48670*x^8 +1). - Colin Barker, Nov 24 2013
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MATHEMATICA
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PROG
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(Magma) I:=[1, 2, 3, 23, 49, 366, 415, 1196, 48255, 97706, 145961, 1119433, 2384827, 17813222, 20198049, 58209320]; [n le 16 select I[n] else 48670*Self(n-8)-Self(n-16): n in [1..50]]; // Vincenzo Librandi, Dec 24 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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