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A042363 Denominators of continued fraction convergents to sqrt(708). 2

%I #16 Jun 13 2015 00:49:45

%S 1,1,2,3,5,23,97,411,508,919,1427,2346,123419,125765,249184,374949,

%T 624133,2871481,12110057,51311709,63421766,114733475,178155241,

%U 292888716,15408368473,15701257189,31109625662,46810882851,77920508513,358492916903

%N Denominators of continued fraction convergents to sqrt(708).

%H Vincenzo Librandi, <a href="/A042363/b042363.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,124846,0,0,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^22 -x^21 +2*x^20 -3*x^19 +5*x^18 -23*x^17 +97*x^16 -411*x^15 +508*x^14 -919*x^13 +1427*x^12 -2346*x^11 -1427*x^10 -919*x^9 -508*x^8 -411*x^7 -97*x^6 -23*x^5 -5*x^4 -3*x^3 -2*x^2 -x -1) / (x^24 -124846*x^12 +1). - _Colin Barker_, Dec 09 2013

%t Denominator[Convergents[Sqrt[708], 30]] (* _Vincenzo Librandi_, Jan 20 2014 *)

%Y Cf. A042362, A040681.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 09 2013

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Last modified September 4 10:22 EDT 2024. Contains 375681 sequences. (Running on oeis4.)