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A042107
Denominators of continued fraction convergents to sqrt(578).
2
1, 24, 1153, 27696, 1330561, 31961160, 1535466241, 36883150944, 1771926711553, 42563124228216, 2044801889665921, 49117808476210320, 2359699608747761281, 56681908418422481064, 2723091303693026852353, 65410873197051066937536, 3142445004762144239854081
OFFSET
0,2
FORMULA
G.f.: -(x^2-24*x-1) / ((x^2-34*x+1)*(x^2+34*x+1)). - Colin Barker, Dec 01 2013
a(n) = 1154*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 14 2014
MATHEMATICA
Denominator[Convergents[Sqrt[578], 30]] (* Vincenzo Librandi, Jan 14 2014 *)
PROG
(Magma) I:=[1, 24, 1153, 27696]; [n le 4 select I[n] else 1154*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jan 14 2014
CROSSREFS
Sequence in context: A323994 A090675 A144618 * A042104 A069991 A035025
KEYWORD
nonn,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 01 2013
STATUS
approved