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A041021
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Denominators of continued fraction convergents to sqrt(14).
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3
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1, 1, 3, 4, 27, 31, 89, 120, 809, 929, 2667, 3596, 24243, 27839, 79921, 107760, 726481, 834241, 2394963, 3229204, 21770187, 24999391, 71768969, 96768360, 652379129, 749147489, 2150674107, 2899821596
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OFFSET
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0,3
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LINKS
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FORMULA
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G.f.: (1+1*x+3*x^2+4*x^3-3*x^4+x^5-x^6)/(1-30*x^4+x^8). [Colin Barker, Jan 03 2012]
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MATHEMATICA
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Convergents[Sqrt[14], 30]//Denominator (* or *) LinearRecurrence[{0, 0, 0, 30, 0, 0, 0, -1}, {1, 1, 3, 4, 27, 31, 89, 120}, 30] (* Harvey P. Dale, Aug 17 2024 *)
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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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