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A042114
Numerators of continued fraction convergents to sqrt(582).
2
24, 193, 9288, 74497, 3585144, 28755649, 1383856296, 11099606017, 534164945112, 4284419166913, 206186284956936, 1653774698822401, 79587371828432184, 638352749326279873, 30720519339489866088
OFFSET
0,1
FORMULA
G.f.: (24 + 193*x + 24*x^2 - x^3)/(1 - 386*x^2 + x^4). - Vincenzo Librandi, Nov 16 2013
a(n) = 386*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 17 2013
MATHEMATICA
Numerator[Convergents[Sqrt[582], 30]] (* or *) CoefficientList[Series[(24 + 193 x + 24 x^2 - x^3)/(1 - 386 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 17 2013 *)
PROG
(Magma) I:=[24, 193, 9288, 74497]; [n le 4 select I[n] else 386*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 17 2013
CROSSREFS
Cf. A042115.
Sequence in context: A047057 A066406 A271432 * A220296 A282286 A123197
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
STATUS
approved