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A042551
Denominators of continued fraction convergents to sqrt(804).
2
1, 2, 3, 14, 31, 572, 1175, 5272, 6447, 18166, 1023743, 2065652, 3089395, 14423232, 31935859, 589268694, 1210473247, 5431161682, 6641634929, 18714431540, 1054649801169, 2128014033878, 3182663835047, 14858669374066, 32900002583179, 607058715871288
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 1030190, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^18 -2*x^17 +3*x^16 -14*x^15 +31*x^14 -572*x^13 +1175*x^12 -5272*x^11 +6447*x^10 -18166*x^9 -6447*x^8 -5272*x^7 -1175*x^6 -572*x^5 -31*x^4 -14*x^3 -3*x^2 -2*x -1) / (x^20 -1030190*x^10 +1). - Colin Barker, Dec 18 2013
MATHEMATICA
Denominator[Convergents[Sqrt[804], 30]] (* Vincenzo Librandi, Jan 24 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 1030190, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 2, 3, 14, 31, 572, 1175, 5272, 6447, 18166, 1023743, 2065652, 3089395, 14423232, 31935859, 589268694, 1210473247, 5431161682, 6641634929, 18714431540}, 30] (* Harvey P. Dale, Nov 16 2020 *)
CROSSREFS
Sequence in context: A338513 A080017 A306267 * A296149 A355176 A346606
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 18 2013
STATUS
approved