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A042716
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Numerators of continued fraction convergents to sqrt(888).
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2
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29, 30, 119, 149, 8761, 8910, 35491, 44401, 2610749, 2655150, 10576199, 13231349, 777994441, 791225790, 3151671811, 3942897601, 231839732669, 235782630270, 939187623479, 1174970253749, 69087462340921
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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.: (29 +30*x +119*x^2 +149*x^3 +119*x^4 -30*x^5 +29*x^6 -x^7)/(1 -298*x^4 +x^8). - Vincenzo Librandi, Dec 02 2013
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MATHEMATICA
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Numerator[Convergents[Sqrt[888], 30]] (* or *) CoefficientList[Series[(29 + 30 x + 119 x^2 + 149 x^3 + 119 x^4 - 30 x^5 + 29 x^6 - x^7)/(1 - 298 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 02 2013 *)
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PROG
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(Magma) I:=[29, 30, 119, 149, 8761, 8910, 35491, 44401]; [n le 8 select I[n] else 298*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Dec 02 2013
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CROSSREFS
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KEYWORD
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nonn,cofr,frac,easy
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AUTHOR
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STATUS
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approved
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