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A041292
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Numerators of continued fraction convergents to sqrt(159).
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2
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12, 13, 25, 38, 63, 227, 290, 517, 807, 1324, 32583, 33907, 66490, 100397, 166887, 601058, 767945, 1369003, 2136948, 3505951, 86279772, 89785723, 176065495, 265851218, 441916713, 1591601357, 2033518070, 3625119427, 5658637497, 9283756924, 228468803673
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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, 2648, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
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FORMULA
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G.f.: -(x^19 -12*x^18 +13*x^17 -25*x^16 +38*x^15 -63*x^14 +227*x^13 -290*x^12 +517*x^11 -807*x^10 -1324*x^9 -807*x^8 -517*x^7 -290*x^6 -227*x^5 -63*x^4 -38*x^3 -25*x^2 -13*x -12) / (x^20 -2648*x^10 +1). - Colin Barker, Nov 06 2013
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MATHEMATICA
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Numerator[Convergents[Sqrt[159], 30]] (* Harvey P. Dale, Jan 05 2012 *)
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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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