A042894 Numerators of continued fraction convergents to sqrt(979).

31, 94, 219, 1189, 1408, 6821, 8229, 47966, 104161, 360449, 22451999, 67716446, 157884891, 857140901, 1015025792, 4917244069, 5932269861, 34578593374, 75089456609, 259846963201, 16185601175071, 48816650488414, 113818902151899, 617911161247909

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, 0, 0, 0, 0, 720898, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 - 31*x^18 + 94*x^17 - 219*x^16 + 1189*x^15 - 1408*x^14 + 6821*x^13 - 8229*x^12 + 47966*x^11 - 104161*x^10 - 360449*x^9 - 104161*x^8 - 47966*x^7 - 8229*x^6 - 6821*x^5 - 1408*x^4 - 1189*x^3 - 219*x^2 - 94*x - 31) / (x^20 - 720898*x^10 + 1). - Colin Barker, Dec 25 2013

Mathematica

Numerator[Convergents[Sqrt[979], 30]] (* Vincenzo Librandi, Dec 08 2013 *)

Crossrefs

Cf. A042895, A040947.

Sequence in context: A098440 A042892 A042890 * A042896 A042898 A044218

Adjacent sequences: A042891 A042892 A042893 * A042895 A042896 A042897

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 25 2013

Status

approved