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A042133
Denominators of continued fraction convergents to sqrt(591).
2
1, 3, 13, 16, 29, 219, 248, 467, 2116, 6815, 329236, 994523, 4307328, 5301851, 9609179, 72566104, 82175283, 154741387, 701140831, 2258163880, 109093007071, 329537185093, 1427241747443, 1756778932536, 3184020679979, 24044923692389, 27228944372368
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,331352,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^18 -3*x^17 +13*x^16 -16*x^15 +29*x^14 -219*x^13 +248*x^12 -467*x^11 +2116*x^10 -6815*x^9 -2116*x^8 -467*x^7 -248*x^6 -219*x^5 -29*x^4 -16*x^3 -13*x^2 -3*x -1) / (x^20 -331352*x^10 +1). - Colin Barker, Dec 02 2013
a(n) = 331352*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Jan 15 2014
MATHEMATICA
Denominator[Convergents[Sqrt[591], 30]] (* Harvey P. Dale, May 25 2013 *)
CoefficientList[Series[-(x^18 - 3 x^17 + 13 x^16 - 16 x^15 + 29 x^14 - 219 x^13 + 248 x^12 - 467 x^11 + 2116 x^10 - 6815 x^9 - 2116 x^8 - 467 x^7 - 248 x^6 - 219 x^5 - 29 x^4 - 16 x^3 - 13 x^2 - 3 x - 1)/(x^20 - 331352 x^10 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 15 2014 *)
CROSSREFS
Sequence in context: A063674 A273678 A022124 * A041297 A041815 A042589
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 02 2013
STATUS
approved