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A042894 Numerators of continued fraction convergents to sqrt(979). 2
31, 94, 219, 1189, 1408, 6821, 8229, 47966, 104161, 360449, 22451999, 67716446, 157884891, 857140901, 1015025792, 4917244069, 5932269861, 34578593374, 75089456609, 259846963201, 16185601175071, 48816650488414, 113818902151899, 617911161247909 (list; graph; refs; listen; history; text; internal format)
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

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Last modified March 21 21:34 EDT 2019. Contains 321382 sequences. (Running on oeis4.)