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A042004
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Numerators of continued fraction convergents to sqrt(525).
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2
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22, 23, 252, 527, 5522, 6049, 271678, 277727, 3048948, 6375623, 66805178, 73180801, 3286760422, 3359941223, 36886172652, 77132286527, 808209037922, 885341324449, 39763227313678, 40648568638127
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OFFSET
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0,1
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 12098, 0, 0, 0, 0, 0, -1).
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FORMULA
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G.f.: -(x^11-22*x^10+23*x^9-252*x^8+527*x^7-5522*x^6-6049*x^5-5522*x^4-527*x^3-252*x^2-23*x-22)/(x^12-12098*x^6+1). - Vincenzo Librandi, Nov 13 2013
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MATHEMATICA
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Numerator[Convergents[Sqrt[525], 30]] (* or *) CoefficientList[Series[-(x^11 - 22 x^10 + 23 x^9 - 252 x^8 + 527 x^7 - 5522 x^6 - 6049 x^5 - 5522 x^4 - 527 x^3 - 252 x^2 - 23 x - 22)/(x^12 - 12098 x^6 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 13 2013 *)
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PROG
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(Magma) I:=[22, 23, 252, 527, 5522, 6049, 271678, 277727, 3048948, 6375623, 66805178, 73180801]; [n le 12 select I[n] else 12098*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Nov 13 2013
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CROSSREFS
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KEYWORD
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nonn,cofr,frac,easy,less
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AUTHOR
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STATUS
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approved
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