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A041525
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Denominators of continued fraction convergents to sqrt(279).
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2
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1, 1, 3, 7, 10, 27, 64, 91, 2976, 3067, 9110, 21287, 30397, 82081, 194559, 276640, 9047039, 9323679, 27694397, 64712473, 92406870, 249526213, 591459296, 840985509, 27502995584, 28343981093, 84190957770, 196725896633, 280916854403, 758559605439
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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, 0, 0, 3040, 0, 0, 0, 0, 0, 0, 0, -1).
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FORMULA
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G.f.: -(x^14 -x^13 +3*x^12 -7*x^11 +10*x^10 -27*x^9 +64*x^8 -91*x^7 -64*x^6 -27*x^5 -10*x^4 -7*x^3 -3*x^2 -x -1) / (x^16 -3040*x^8 +1). - Colin Barker, Nov 18 2013
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MATHEMATICA
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PROG
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(Magma) I:=[1, 1, 3, 7, 10, 27, 64, 91, 2976, 3067, 9110, 21287, 30397, 82081, 194559, 276640]; [n le 16 select I[n] else 3040*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 19 2013
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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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