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A042366
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Numerators of continued fraction convergents to sqrt(710).
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2
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26, 27, 53, 80, 373, 453, 826, 1279, 67334, 68613, 135947, 204560, 954187, 1158747, 2112934, 3271681, 172240346, 175512027, 347752373, 523264400, 2440809973, 2964074373, 5404884346, 8368958719
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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, 0, 0, 2558, 0, 0, 0, 0, 0, 0, 0, -1).
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FORMULA
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G.f.: (26 +27*x +53*x^2 +80*x^3 +373*x^4 +453*x^5 +826*x^6 +1279*x^7 +826*x^8 -453*x^9 +373*x^10 -80*x^11 +53*x^12 -27*x^13 +26*x^14 -x^15)/(1 -2558*x^8 +x^16). - Vincenzo Librandi, Nov 22 2013
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MATHEMATICA
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Numerator[Convergents[Sqrt[710], 30]] (* or *) CoefficientList[Series[(26 + 27 x + 53 x^2 + 80 x^3 + 373 x^4 + 453 x^5 + 826 x^6 + 1279 x^7 + 826 x^8 - 453 x^9 + 373 x^10 - 80 x^11 + 53 x^12 - 27 x^13 + 26 x^14 - x^15)/(1 - 2558 x^8 + x^16), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 22 2013 *)
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PROG
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(Magma) I:=[26, 27, 53, 80, 373, 453, 826, 1279, 67334, 68613, 135947, 204560, 954187, 1158747, 2112934, 3271681]; [n le 16 select I[n] else 2558*Self(n-8)-Self(n-16): n in [1..30]]; // Vincenzo Librandi, Nov 22 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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