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A042100
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Numerators of continued fraction convergents to sqrt(574).
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2
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23, 24, 551, 575, 27001, 27576, 633673, 661249, 31051127, 31712376, 728723399, 760435775, 35708769049, 36469204824, 838031275177, 874500480001, 41065053355223, 41939553835224, 963735237730151
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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 - 551*x^4 - 575*x^3 - 551*x^2 - 24*x - 23)/(x^8 - 1150*x^4 + 1). - Vincenzo Librandi, Nov 16 2013
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MATHEMATICA
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Numerator[Convergents[Sqrt[574], 30]] (* or *) CoefficientList[Series[-(x^7 - 23 x^6 + 24 x^5 - 551 x^4 - 575 x^3 - 551 x^2 - 24 x - 23)/(x^8 - 1150 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, 551, 575, 27001, 27576, 633673, 661249]; [n le 8 select I[n] else 1150*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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