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A041201
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Denominators of continued fraction convergents to sqrt(111).
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2
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1, 1, 2, 13, 15, 28, 575, 603, 1178, 7671, 8849, 16520, 339249, 355769, 695018, 4525877, 5220895, 9746772, 200156335, 209903107, 410059442, 2670259759, 3080319201, 5750578960, 118091898401, 123842477361
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OFFSET
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0,3
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,590,0,0,0,0,0,-1).
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FORMULA
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a(n) = 590*a(n-6)-a(n-12). G.f.: -(x^2-2*x-1)*(x^4-x^3+2*x^2+x+1)*(x^4+2*x^3+5*x^2-2*x+1)/(x^12-590*x^6+1). [Colin Barker, Jul 19 2012]
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MATHEMATICA
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LinearRecurrence[{0, 0, 0, 0, 0, 590, 0, 0, 0, 0, 0, -1}, {1, 1, 2, 13, 15, 28, 575, 603, 1178, 7671, 8849, 16520}, 40] (* Harvey P. Dale, Jan 11 2019 *)
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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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