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A042333 Denominators of continued fraction convergents to sqrt(693). 2

%I #14 Jun 13 2015 00:49:40

%S 1,3,37,40,197,237,3041,9360,489761,1478643,18233477,19712120,

%T 97081957,116794077,1498610881,4612626720,241355200321,728678227683,

%U 8985493932517,9714172160200,47842182573317,57556354733517,738518439375521,2273111672860080

%N Denominators of continued fraction convergents to sqrt(693).

%H Vincenzo Librandi, <a href="/A042333/b042333.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 (0,0,0,0,0,0,0,492802,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^14 -3*x^13 +37*x^12 -40*x^11 +197*x^10 -237*x^9 +3041*x^8 -9360*x^7 -3041*x^6 -237*x^5 -197*x^4 -40*x^3 -37*x^2 -3*x -1) / ((x^8 -702*x^4 +1)*(x^8 +702*x^4 +1)). - _Colin Barker_, Dec 08 2013

%t Denominator[Convergents[Sqrt[693], 30]] (* _Vincenzo Librandi_, Jan 20 2014 *)

%Y Cf. A042332, A040666.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 08 2013

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Last modified March 28 21:54 EDT 2024. Contains 371254 sequences. (Running on oeis4.)