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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
OFFSET
0,1
LINKS
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
a(n) = 236674*a(n-10) - a(n-20). - Wesley Ivan Hurt, May 03 2023
MATHEMATICA
Numerator[Convergents[Sqrt[978], 30]] (* Vincenzo Librandi, Dec 08 2013 *)
CROSSREFS
Sequence in context: A126385 A061155 A098440 * A042890 A042894 A042896
KEYWORD
nonn,frac,easy
EXTENSIONS
More terms from Colin Barker, Dec 25 2013
STATUS
approved