login
A041220
Numerators of continued fraction convergents to sqrt(122).
3
11, 243, 5357, 118097, 2603491, 57394899, 1265291269, 27893802817, 614928953243, 13556330774163, 298854205984829, 6588348862440401, 145242529179673651, 3201923990815260723, 70587570327115409557, 1556128471187354270977, 34305413936448909371051
OFFSET
0,1
FORMULA
From Philippe Deléham, Nov 21 2008: (Start)
a(n) = 22*a(n-1) + a(n-2) for n > 1, a(0)=11, a(1)=243.
G.f.: (11+x) / (1-22*x-x^2). (End)
MATHEMATICA
Numerator/@Convergents[Sqrt[122], 20] (* Harvey P. Dale, Jun 04 2011 *)
CoefficientList[Series[(11 + x)/(1 - 22 x - x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 31 2013 *)
CROSSREFS
Cf. A041221.
Sequence in context: A121826 A377448 A041223 * A347483 A219089 A243683
KEYWORD
nonn,cofr,frac,easy
EXTENSIONS
More terms from Colin Barker, Nov 05 2013
STATUS
approved