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A041853
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Denominators of continued fraction convergents to sqrt(448).
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2
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1, 6, 253, 1524, 64261, 387090, 16322041, 98319336, 4145734153, 24972724254, 1053000152821, 6342973641180, 267457893082381, 1611090332135466, 67933251842771953, 409210601388767184, 17254778510170993681, 103937881662414729270, 4382645808331589623021
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,254,0,-1).
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FORMULA
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G.f.: -(x^2 -6*x -1) / ((x^2 -16*x +1)*(x^2 +16*x +1)). - Colin Barker, Nov 26 2013
a(n) = 254*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 25 2013
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MATHEMATICA
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Denominator/@Convergents[Sqrt[448], 20] (* Harvey P. Dale, Apr 06 2011 *)
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PROG
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(Magma) I:=[1, 6, 253, 1524]; [n le 4 select I[n] else 254*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 25 2013
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CROSSREFS
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Cf. A041852, A040426.
Sequence in context: A324478 A230881 A332563 * A168476 A320979 A279869
Adjacent sequences: A041850 A041851 A041852 * A041854 A041855 A041856
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KEYWORD
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nonn,frac,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Colin Barker, Nov 26 2013
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STATUS
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approved
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