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A041287
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Denominators of continued fraction convergents to sqrt(156).
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3
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1, 2, 49, 100, 2449, 4998, 122401, 249800, 6117601, 12485002, 305757649, 624000300, 15281764849, 31187529998, 763782484801, 1558752499600, 38173842475201, 77906437450002, 1907928341275249, 3893763120000500, 95358243221287249, 194610249562574998
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OFFSET
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0,2
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LINKS
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FORMULA
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MATHEMATICA
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Denominator[Convergents[Sqrt[156], 30]] (* or *) CoefficientList[Series[(1 + 2 x - x^2)/(x^4 - 50 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 14 2013 *)
LinearRecurrence[{0, 50, 0, -1}, {1, 2, 49, 100}, 30] (* Harvey P. Dale, Aug 05 2015 *)
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PROG
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(Magma) I:=[1, 2, 49, 100]; [n le 4 select I[n] else 50*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 14 2013
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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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