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A042102
Numerators of continued fraction convergents to sqrt(575).
2
23, 24, 1127, 1151, 54073, 55224, 2594377, 2649601, 124476023, 127125624, 5972254727, 6099380351, 286543750873, 292643131224, 13748127787177, 14040770918401, 659623590033623, 673664360952024
OFFSET
0,1
FORMULA
G.f.: -(x^3 - 23*x^2 - 24*x - 23)/(x^4 - 48*x^2 + 1). - Vincenzo Librandi, Nov 16 2013
a(n) = 48*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 12 2013
MATHEMATICA
Numerator[Convergents[Sqrt[575], 20]] (* Harvey P. Dale, Aug 10 2011 *)
CoefficientList[Series[-(x^3 - 23 x^2 - 24 x - 23)/(x^4 - 48 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 16 2013 *)
PROG
(Magma) I:=[23, 24, 1127, 1151]; [n le 4 select I[n] else 48*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 16 2013
CROSSREFS
Cf. A042103.
Sequence in context: A041263 A042100 A042101 * A156964 A147624 A263315
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
STATUS
approved