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A042809 Denominators of continued fraction convergents to sqrt(935). 2

%I #19 Mar 20 2023 15:54:12

%S 1,1,2,5,7,19,26,45,2726,2771,5497,13765,19262,52289,71551,123840,

%T 7501951,7625791,15127742,37881275,53009017,143899309,196908326,

%U 340807635,20645366426,20986174061,41631540487,104249255035,145880795522,396010846079

%N Denominators of continued fraction convergents to sqrt(935).

%H Vincenzo Librandi, <a href="/A042809/b042809.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, 2752, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^14 -x^13 +2*x^12 -5*x^11 +7*x^10 -19*x^9 +26*x^8 -45*x^7 -26*x^6 -19*x^5 -7*x^4 -5*x^3 -2*x^2 -x -1) / (x^16 -2752*x^8 +1). - _Colin Barker_, Dec 23 2013

%t Denominator[Convergents[Sqrt[935], 30]] (* _Vincenzo Librandi_, Jan 30 2014 *)

%t LinearRecurrence[{0,0,0,0,0,0,0,2752,0,0,0,0,0,0,0,-1},{1,1,2,5,7,19,26,45,2726,2771,5497,13765,19262,52289,71551,123840},30] (* _Harvey P. Dale_, Mar 20 2023 *)

%Y Cf. A042808, A040904.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 23 2013

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)