A041872 Numerators of continued fraction convergents to sqrt(458).

21, 43, 107, 4537, 9181, 22899, 970939, 1964777, 4900493, 207785483, 420471459, 1048728401, 44467064301, 89982857003, 224432778307, 9516159545897, 19256751870101, 48029663286099, 2036502609886259

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,214,0,0,1).

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

Adjacent sequences: A041869 A041870 A041871 * A041873 A041874 A041875

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved