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A042055 Denominators of continued fraction convergents to sqrt(551). 2

%I #17 Sep 05 2022 21:36:07

%S 1,2,17,19,169,357,16591,33539,284903,318442,2832439,5983320,

%T 278065159,562113638,4774974263,5337087901,47471677471,100280442843,

%U 4660372048249,9421024539341,80028568362977,89449592902318,795625311581521,1680700216065360

%N Denominators of continued fraction convergents to sqrt(551).

%H Vincenzo Librandi, <a href="/A042055/b042055.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 16760, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^10-2*x^9+17*x^8-19*x^7+169*x^6-357*x^5-169*x^4-19*x^3-17*x^2-2*x-1) / (x^12-16760*x^6+1). - _Colin Barker_, Nov 30 2013

%F a(n) = 16760*a(n-6) - a(n-12). - _Wesley Ivan Hurt_, Sep 05 2022

%t Denominator[Convergents[Sqrt[551], 30]] (* _Vincenzo Librandi_, Jan 13 2014 *)

%Y Cf. A042054, A040527.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 30 2013

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Last modified April 24 14:23 EDT 2024. Contains 371960 sequences. (Running on oeis4.)