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A042039 Denominators of continued fraction convergents to sqrt(543). 2
1, 3, 10, 33, 43, 635, 678, 2669, 8685, 28724, 1329989, 4018691, 13386062, 44176877, 57562939, 850058023, 907620962, 3572920909, 11626383689, 38452071976, 1780421694585, 5379717155731, 17919573161778, 59138436641065, 77058009802843, 1137950573880867 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 1338674, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^18 -3*x^17 +10*x^16 -33*x^15 +43*x^14 -635*x^13 +678*x^12 -2669*x^11 +8685*x^10 -28724*x^9 -8685*x^8 -2669*x^7 -678*x^6 -635*x^5 -43*x^4 -33*x^3 -10*x^2 -3*x -1) / (x^20 -1338674*x^10 +1). - Colin Barker, Nov 30 2013
a(n) = 1338674*a(n-10) - a(n-20). - Wesley Ivan Hurt, Sep 05 2022
MATHEMATICA
Denominator[Convergents[Sqrt[543], 30]] (* Vincenzo Librandi, Jan 12 2014 *)
CROSSREFS
Sequence in context: A174573 A126183 A174798 * A080697 A316404 A333027
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 30 2013
STATUS
approved

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Last modified May 29 14:43 EDT 2024. Contains 372952 sequences. (Running on oeis4.)