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A042030
Numerators of continued fraction convergents to sqrt(539).
2
23, 93, 116, 209, 325, 534, 859, 3970, 183479, 737886, 921365, 1659251, 2580616, 4239867, 6820483, 31521799, 1456823237, 5858814747, 7315637984, 13174452731, 20490090715, 33664543446, 54154634161, 250283080090, 11567176318301, 46518988353294, 58086164671595
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 7940, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^15 -23*x^14 +93*x^13 -116*x^12 +209*x^11 -325*x^10 +534*x^9 -859*x^8 -3970*x^7 -859*x^6 -534*x^5 -325*x^4 -209*x^3 -116*x^2 -93*x -23) / (x^16 -7940*x^8 +1). - Colin Barker, Nov 29 2013
a(n) = 7940*a(n-8) - a(n-16). - Wesley Ivan Hurt, Sep 05 2022
MATHEMATICA
Numerator[Convergents[Sqrt[539], 30]] (* Vincenzo Librandi, Nov 14 2013 *)
CROSSREFS
Sequence in context: A306138 A317371 A244632 * A042032 A257976 A183011
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 29 2013
STATUS
approved