A041522 Numerators of continued fraction convergents to sqrt(278).

16, 17, 50, 817, 1684, 2501, 81716, 84217, 250150, 4086617, 8423384, 12510001, 408743416, 421253417, 1251250250, 20441257417, 42133765084, 62575022501, 2044534485116, 2107109507617, 6258753500350, 102247165513217, 210753084526784, 313000250040001

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,5002,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -16*x^10 +17*x^9 -50*x^8 +817*x^7 -1684*x^6 -2501*x^5 -1684*x^4 -817*x^3 -50*x^2 -17*x -16) / (x^12 -5002*x^6 +1). - Colin Barker, Nov 08 2013

Mathematica

Numerator[Convergents[Sqrt[278], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

Crossrefs

Cf. A041523.

Sequence in context: A041526 A041524 A042205 * A097221 A097220 A041530

Adjacent sequences: A041519 A041520 A041521 * A041523 A041524 A041525

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 08 2013

Status

approved