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A041378
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Numerators of continued fraction convergents to sqrt(204).
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2
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14, 43, 57, 100, 657, 757, 1414, 4999, 141386, 429157, 570543, 999700, 6568743, 7568443, 14137186, 49980001, 1413577214, 4290711643, 5704288857, 9995000500, 65674291857, 75669292357, 141343584214, 499700044999, 14132944844186, 42898534577557, 57031479421743
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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 (0,0,0,0,0,0,0,9998,0,0,0,0,0,0,0,-1).
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FORMULA
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G.f.: -(x^15 -14*x^14 +43*x^13 -57*x^12 +100*x^11 -657*x^10 +757*x^9 -1414*x^8 -4999*x^7 -1414*x^6 -757*x^5 -657*x^4 -100*x^3 -57*x^2 -43*x -14) / ((x^8 -100*x^4 +1)*(x^8 +100*x^4 +1)). - Colin Barker, Nov 07 2013
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MATHEMATICA
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LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 9998, 0, 0, 0, 0, 0, 0, 0, -1}, {14, 43, 57, 100, 657, 757, 1414, 4999, 141386, 429157, 570543, 999700, 6568743, 7568443, 14137186, 49980001}, 30] (* Harvey P. Dale, Oct 03 2022 *)
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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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