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A042816
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Numerators of continued fraction convergents to sqrt(939).
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2
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30, 31, 61, 92, 429, 8672, 35117, 43789, 78906, 122695, 7440606, 7563301, 15003907, 22567208, 105272739, 2128021988, 8617360691, 10745382679, 19362743370, 30108126049, 1825850306310, 1855958432359, 3681808738669, 5537767171028
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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, 0, 0, 245390, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
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FORMULA
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G.f.: -(x^19 -30*x^18 +31*x^17 -61*x^16 +92*x^15 -429*x^14 +8672*x^13 -35117*x^12 +43789*x^11 -78906*x^10 -122695*x^9 -78906*x^8 -43789*x^7 -35117*x^6 -8672*x^5 -429*x^4 -92*x^3 -61*x^2 -31*x -30) / (x^20 -245390*x^10 +1). - Colin Barker, Dec 24 2013
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MATHEMATICA
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LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 245390, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {30, 31, 61, 92, 429, 8672, 35117, 43789, 78906, 122695, 7440606, 7563301, 15003907, 22567208, 105272739, 2128021988, 8617360691, 10745382679, 19362743370, 30108126049}, 30] (* Harvey P. Dale, Oct 08 2023 *)
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CROSSREFS
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KEYWORD
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nonn,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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