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A041851
Denominators of continued fraction convergents to sqrt(447).
2
1, 7, 295, 2072, 87319, 613305, 25846129, 181536208, 7650366865, 53734104263, 2264482745911, 15905113325640, 670279242422791, 4707859810285177, 198400391274400225, 1393510598731086752, 58725845537980043809, 412474429364591393415, 17382651878850818567239
OFFSET
0,2
FORMULA
G.f.: -(x^2 -7*x -1) / (x^4 -296*x^2 +1). - Colin Barker, Nov 26 2013
a(n) = 296*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 25 2013
MATHEMATICA
Denominator[Convergents[Sqrt[447], 30]] (* Vincenzo Librandi, Dec 25 2013 *)
PROG
(Magma) I:=[1, 7, 295, 2072]; [n le 4 select I[n] else 296*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 25 2013
CROSSREFS
Sequence in context: A160072 A137435 A220241 * A082168 A362658 A096348
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 26 2013
STATUS
approved