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A042096
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Numerators of continued fraction convergents to sqrt(572).
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2
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23, 24, 263, 287, 13465, 13752, 150985, 164737, 7728887, 7893624, 86665127, 94558751, 4436367673, 4530926424, 49745631913, 54276558337, 2546467315415, 2600743873752, 28553906052935, 31154649926687
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: -(x^7 - 23*x^6 + 24*x^5 - 263*x^4 - 287*x^3 - 263*x^2 - 24*x - 23)/(x^8 - 574*x^4 + 1). - Vincenzo Librandi, Nov 16 2013
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MATHEMATICA
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Numerator[Convergents[Sqrt[572], 30]] (* or *) CoefficientList[Series[-(x^7 - 23 x^6 + 24 x^5 - 263 x^4 - 287 x^3 - 263 x^2 - 24 x - 23)/(x^8 - 574 x^4 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 16 2013 *)
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PROG
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(Magma) I:=[23, 24, 263, 287, 13465, 13752, 150985, 164737]; [n le 8 select I[n] else 574*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Nov 16 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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