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A042118
Numerators of continued fraction convergents to sqrt(584).
2
24, 145, 6984, 42049, 2025336, 12194065, 587340456, 3536236801, 170326706904, 1025496478225, 49394157661704, 297390442448449, 14324135395187256, 86242202813571985, 4153949870446642536
OFFSET
0,1
FORMULA
G.f.: (24+145*x+24*x^2-x^3)/(1-290*x^2+x^4). - Vincenzo Librandi, Nov 17 2013
a(n) = 290*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 17 2013
MATHEMATICA
Numerator[Convergents[Sqrt[584], 30]] (* or *) CoefficientList[Series[(24 + 145 x + 24 x^2 - x^3)/(1 - 290 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 17 2013 *)
PROG
(Magma) I:=[24, 145, 6984, 42049]; [n le 4 select I[n] else 290*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 17 2013
CROSSREFS
Cf. A042119.
Sequence in context: A215756 A340639 A290313 * A039494 A159650 A305160
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
STATUS
approved