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A042332 Numerators of continued fraction convergents to sqrt(693). 2

%I #12 Jun 13 2015 00:49:40

%S 26,79,974,1053,5186,6239,80054,246401,12892906,38925119,479994334,

%T 518919453,2555672146,3074591599,39450771334,121426905601,

%U 6353649862586,19182376493359,236542167782894,255724544276253,1259440344887906,1515164889164159,19441419014857814

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

%H Vincenzo Librandi, <a href="/A042332/b042332.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^15 -26*x^14 +79*x^13 -974*x^12 +1053*x^11 -5186*x^10 +6239*x^9 -80054*x^8 -246401*x^7 -80054*x^6 -6239*x^5 -5186*x^4 -1053*x^3 -974*x^2 -79*x -26) / ((x^8 -702*x^4 +1)*(x^8 +702*x^4 +1)). - _Colin Barker_, Dec 08 2013

%t Numerator[Convergents[Sqrt[693], 30]] (* _Vincenzo Librandi_, Nov 21 2013 *)

%Y Cf. A042333, A040666.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 08 2013

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