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A042798
Numerators of continued fraction convergents to sqrt(930).
2
30, 61, 3690, 7441, 450150, 907741, 54914610, 110736961, 6699132270, 13509001501, 817239222330, 1647987446161, 99696485991990, 201040959430141, 12162154051800450, 24525349063031041, 1483683097833662910, 2991891544730356861, 180997175781655074570
OFFSET
0,1
FORMULA
G.f.: (30 +61*x +30*x^2 -x^3)/(1 -122*x^2 +x^4), - Vincenzo Librandi, Dec 05 2013
a(n) = 122*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 05 2013
MATHEMATICA
Numerator[Convergents[Sqrt[930], 30]] (* Harvey P. Dale, Apr 27 2012 *)
CoefficientList[Series[(30 + 61 x + 30 x^2 - x^3)/(1 - 122 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 05 2013 *)
PROG
(Magma) I:=[30, 61, 3690, 7441]; [n le 4 select I[n] else 122*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 05 2013
CROSSREFS
Cf. A042799.
Sequence in context: A042792 A042794 A042796 * A320705 A132771 A326158
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Dec 05 2013
STATUS
approved