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A042526
Numerators of continued fraction convergents to sqrt(792).
2
28, 197, 11060, 77617, 4357612, 30580901, 1716888068, 12048797377, 676449541180, 4747195585637, 266519402336852, 1870383011943601, 105007968071178508, 736926159510193157, 41372872900641995300
OFFSET
0,1
FORMULA
G.f.: (28 +197*x +28*x^2 -x^3)/(1 -394*x^2 +x^4). - Vincenzo Librandi, Nov 26 2013
a(n) = 394*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 26 2013
MATHEMATICA
Numerator[Convergents[Sqrt[792], 30]] (* or *) CoefficientList[Series[(28 + 197 x + 28 x^2 - x^3)/(1 - 394 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 25 2013 *)
PROG
(Magma) I:=[28, 197, 11060, 77617]; [n le 4 select I[n] else 394*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 26 2013
CROSSREFS
Cf. A042527.
Sequence in context: A167581 A135826 A220152 * A184933 A233039 A246902
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved