[go: up one dir, main page]

login
A042438
Numerators of continued fraction convergents to sqrt(747).
2
27, 82, 4455, 13447, 730593, 2205226, 119812797, 361643617, 19648568115, 59307347962, 3222245358063, 9726043422151, 528428590154217, 1595011813884802, 86659066539933525, 261572211433685377
OFFSET
0,1
FORMULA
G.f.: (27 + 82*x + 27*x^2 - x^3)/(1 - 164*x^2 + x^4), - Vincenzo Librandi, Nov 24 2013
a(n) = 164*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 24 2013
MATHEMATICA
Numerator[Convergents[Sqrt[747], 30]] (* or *) CoefficientList[Series[(27 + 82 x + 27 x^2 - x^3)/(1 - 164 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 24 2013 *)
PROG
(Magma) I:=[27, 82, 4455, 13447]; [n le 4 select I[n] else 164*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 24 2013
CROSSREFS
Cf. A042439.
Sequence in context: A195028 A042434 A042436 * A251088 A044981 A251081
KEYWORD
nonn,cofr,frac,easy
STATUS
approved