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A042033
Denominators of continued fraction convergents to sqrt(540).
2
1, 4, 17, 21, 227, 248, 1219, 5124, 236923, 952816, 4048187, 5001003, 54058217, 59059220, 290295097, 1220239608, 56421317065, 226905507868, 964043348537, 1190948856405, 12873531912587, 14064480768992, 69131454988555, 290590300723212, 13436285288256307
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,238142,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^14 -4*x^13 +17*x^12 -21*x^11 +227*x^10 -248*x^9 +1219*x^8 -5124*x^7 -1219*x^6 -248*x^5 -227*x^4 -21*x^3 -17*x^2 -4*x -1) / ((x^8 -488*x^4 +1)*(x^8 +488*x^4 +1)). - Colin Barker, Nov 29 2013
a(n) = 238142*a(n-8) - a(n-16). - Wesley Ivan Hurt, Sep 05 2022
MATHEMATICA
Denominator[Convergents[Sqrt[540], 30]] (* Vincenzo Librandi, Jan 12 2014 *)
CROSSREFS
Sequence in context: A193379 A022134 A041529 * A372749 A281464 A192197
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 29 2013
STATUS
approved