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A042862
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Numerators of continued fraction convergents to sqrt(963).
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2
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31, 962, 59675, 1850887, 114814669, 3561105626, 220903363481, 6851565373537, 425017956522775, 13182408217579562, 817734327446455619, 25362946559057703751, 1573320420989024088181, 48798295997218804437362, 3027067672248554899204625, 93887896135702420679780737
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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.: (31 + 962*x + 31*x^2 - x^3)/(1 - 1924*x^2 + x^4). - Vincenzo Librandi, Dec 08 2013
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MATHEMATICA
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Numerator[Convergents[Sqrt[963], 30]] (* or *) CoefficientList[Series[(31 + 962 x + 31 x^2 - x^3)/(1 - 1924 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 08 2013 *)
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PROG
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(Magma) I:=[ 31, 962, 59675, 1850887]; [n le 4 select I[n] else 1924*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 08 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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EXTENSIONS
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STATUS
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approved
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