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A042117
Denominators of continued fraction convergents to sqrt(583).
2
1, 6, 7, 55, 282, 1183, 6197, 44562, 50759, 349116, 16808327, 101199078, 118007405, 927250913, 4754261970, 19944298793, 104475755935, 751274590338, 855750346273, 5885776667976, 283373030409121, 1706123959122702, 1989496989531823, 15632602885845463
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 16859086, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^18 -6*x^17 +7*x^16 -55*x^15 +282*x^14 -1183*x^13 +6197*x^12 -44562*x^11 +50759*x^10 -349116*x^9 -50759*x^8 -44562*x^7 -6197*x^6 -1183*x^5 -282*x^4 -55*x^3 -7*x^2 -6*x -1) / (x^20 -16859086*x^10 +1). - Colin Barker, Dec 02 2013
a(n) = 16859086*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Jan 15 2014
MATHEMATICA
Denominator[Convergents[Sqrt[583], 30]] (* Vincenzo Librandi, Jan 15 2014 *)
CROSSREFS
Sequence in context: A182622 A028423 A269912 * A335956 A179885 A217548
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 02 2013
STATUS
approved