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A041249
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Denominators of continued fraction convergents to sqrt(136).
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2
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1, 1, 2, 3, 68, 71, 139, 210, 4759, 4969, 9728, 14697, 333062, 347759, 680821, 1028580, 23309581, 24338161, 47647742, 71985903, 1631337608, 1703323511, 3334661119, 5037984630, 114170322979, 119208307609, 233378630588, 352586938197, 7990291270922
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OFFSET
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0,3
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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 (0,0,0,70,0,0,0,-1).
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FORMULA
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G.f.: -(x^2-x-1)*(x^4+3*x^2+1) / (x^8-70*x^4+1). - Colin Barker, Nov 14 2013
a(n) = 70*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 13 2013
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MATHEMATICA
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Denominator[Convergents[Sqrt[136], 30]] (* Vincenzo Librandi, Dec 13 2013 *)
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PROG
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(Magma) I:=[1, 1, 2, 3, 68, 71, 139, 210]; [n le 8 select I[n] else 70*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 13 2013
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CROSSREFS
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Cf. A041248, A010195.
Sequence in context: A132532 A108023 A352163 * A356795 A360817 A184949
Adjacent sequences: A041246 A041247 A041248 * A041250 A041251 A041252
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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 14 2013
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STATUS
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approved
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