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A042725 Denominators of continued fraction convergents to sqrt(892). 2

%I #15 Mar 19 2017 12:38:54

%S 1,1,7,15,217,449,2911,3360,197791,201151,1404697,3010545,43552327,

%T 90115199,584243521,674358720,39697049281,40371408001,281925497287,

%U 604222402575,8741039133337,18086300669249,117258843148831,135345143818080,7967277184597471

%N Denominators of continued fraction convergents to sqrt(892).

%H Vincenzo Librandi, <a href="/A042725/b042725.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 200702, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^14 -x^13 +7*x^12 -15*x^11 +217*x^10 -449*x^9 +2911*x^8 -3360*x^7 -2911*x^6 -449*x^5 -217*x^4 -15*x^3 -7*x^2 -x -1) / ((x^8 -448*x^4 +1)*(x^8 +448*x^4 +1)). - _Colin Barker_, Dec 22 2013

%t Denominator[Convergents[Sqrt[892], 30]] (* _Vincenzo Librandi_, Jan 27 2014 *)

%Y Cf. A042724, A040862.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 22 2013

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Last modified April 25 10:01 EDT 2024. Contains 371967 sequences. (Running on oeis4.)