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A041872
Numerators of continued fraction convergents to sqrt(458).
2
21, 43, 107, 4537, 9181, 22899, 970939, 1964777, 4900493, 207785483, 420471459, 1048728401, 44467064301, 89982857003, 224432778307, 9516159545897, 19256751870101, 48029663286099, 2036502609886259
OFFSET
0,1
FORMULA
G.f.: (21 + 43*x + 107*x^2 + 43*x^3 - 21*x^4 + x^5)/(1 - 214*x^3 - x^6). [Bruno Berselli, Nov 11 2013]
a(n) = 214*a(n-3) + a(n-6) for n>5. [Bruno Berselli, Nov 11 2013]
MATHEMATICA
Numerator[Convergents[Sqrt[458], 20]] (* Harvey P. Dale, Aug 26 2013 *)
LinearRecurrence[{0, 0, 214, 0, 0, 1}, {21, 43, 107, 4537, 9181, 22899}, 30] (* Bruno Berselli, Nov 11 2013 *)
CROSSREFS
Cf. A041873.
Sequence in context: A118569 A195049 A041874 * A041876 A041878 A041880
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
STATUS
approved