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A042134
Numerators of continued fraction convergents to sqrt(592).
2
24, 73, 3528, 10657, 515064, 1555849, 75195816, 227143297, 10978074072, 33161365513, 1602723618696, 4841332221601, 233986670255544, 706801342988233, 34160451133690728, 103188154744060417, 4987191878848590744
OFFSET
0,1
FORMULA
G.f.: (24 + 73*x + 24*x^2 - x^3)/(x^4 - 146*x^2 + 1). - Vincenzo Librandi, Nov 17 2013
a(n) = 146*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 17 2013
MATHEMATICA
Numerator[Convergents[Sqrt[592], 30]] (* Vincenzo Librandi, Nov 17 2013 *)
(* Alternative: *)
CoefficientList[Series[(24 + 73 x + 24 x^2 - x^3)/(x^4 - 146 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 17 2013 *)
PROG
(Magma) I:=[24, 73, 3528, 10657]; [n le 4 select I[n] else 146*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 17 2013
CROSSREFS
Cf. A042135.
Sequence in context: A161587 A042130 A042132 * A045249 A185940 A378065
KEYWORD
nonn,cofr,frac,easy,less
STATUS
approved