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A042892 Numerators of continued fraction convergents to sqrt(978). 2
31, 94, 125, 219, 344, 10539, 10883, 21422, 32305, 118337, 7369199, 22225934, 29595133, 51821067, 81416200, 2494307067, 2575723267, 5070030334, 7645753601, 28007291137, 1744097804095, 5260300703422, 7004398507517, 12264699210939, 19269097718456 (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 (0,0,0,0,0,0,0,0,0,236674,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -31*x^18 +94*x^17 -125*x^16 +219*x^15 -344*x^14 +10539*x^13 -10883*x^12 +21422*x^11 -32305*x^10 -118337*x^9 -32305*x^8 -21422*x^7 -10883*x^6 -10539*x^5 -344*x^4 -219*x^3 -125*x^2 -94*x -31) / (x^20 -236674*x^10 +1). - Colin Barker, Dec 25 2013

MATHEMATICA

Numerator[Convergents[Sqrt[978], 30]] (* Vincenzo Librandi, Dec 08 2013 *)

CROSSREFS

Cf. A042893, A040946.

Sequence in context: A126385 A061155 A098440 * A042890 A042894 A042896

Adjacent sequences:  A042889 A042890 A042891 * A042893 A042894 A042895

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 19 13:25 EDT 2019. Contains 321330 sequences. (Running on oeis4.)