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A042789
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Denominators of continued fraction convergents to sqrt(925).
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2
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1, 2, 5, 12, 29, 1752, 3533, 8818, 21169, 51156, 3090529, 6232214, 15554957, 37342128, 90239213, 5451694908, 10993629029, 27438952966, 65871534961, 159182022888, 9616792908241, 19392767839370, 48402328586981, 116197425013332, 280797178613645
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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, 1764, 0, 0, 0, 0, 1).
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FORMULA
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G.f.: -(x^8 -2*x^7 +5*x^6 -12*x^5 +29*x^4 +12*x^3 +5*x^2 +2*x +1) / (x^10 +1764*x^5 -1). - Colin Barker, Dec 23 2013
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MAPLE
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convert(sqrt(925), confrac, 30, cvgts): denom(cvgts); # Wesley Ivan Hurt, Dec 23 2013
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MATHEMATICA
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Denominator[Convergents[Sqrt[925], 30]] (* Harvey P. Dale, Oct 16 2013 *)
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PROG
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(Magma) I:=[1, 2, 5, 12, 29, 1752, 3533, 8818, 21169, 51156]; [n le 10 select I[n] else 1764*Self(n-5)+Self(n-10): n in [1..30]]; // Vincenzo Librandi, Jan 29 2014
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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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