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A042161 Denominators of continued fraction convergents to sqrt(605). 2

%I #19 May 19 2019 02:11:04

%S 1,1,2,5,57,62,553,615,7318,15251,22569,37820,1837929,1875749,3713678,

%T 9303105,106047833,115350938,1028855337,1144206275,13615124362,

%U 28374454999,41989579361,70364034360,3419463228641,3489827263001,6909290491642,17308408246285

%N Denominators of continued fraction convergents to sqrt(605).

%H Vincenzo Librandi, <a href="/A042161/b042161.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1860498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^22 - x^21 + 2*x^20 - 5*x^19 + 57*x^18 - 62*x^17 + 553*x^16 - 615*x^15 + 7318*x^14 - 15251*x^13 + 22569*x^12 - 37820*x^11 - 22569*x^10 - 15251*x^9 - 7318*x^8 - 615*x^7 - 553*x^6 - 62*x^5 - 57*x^4 - 5*x^3 - 2*x^2 - x - 1) / ((x^4 - 11*x^2 - 1)*(x^4 + 11*x^2 - 1)*(x^8 - 11*x^6 + 122*x^4 + 11*x^2 + 1)*(x^8 + 11*x^6 + 122*x^4 - 11*x^2 + 1)). - _Colin Barker_, Dec 02 2013

%F a(n) = 1860498*a(n-12) - a(n-24) for n > 23. - _Vincenzo Librandi_, Jan 16 2014

%t Denominator[Convergents[Sqrt[605], 30]] (* _Vincenzo Librandi_, Jan 16 2014 *)

%Y Cf. A042160, A040580.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Dec 02 2013

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)