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A042648 Numerators of continued fraction convergents to sqrt(854). 2

%I #14 Mar 18 2017 17:40:42

%S 29,117,263,3010,12303,138343,288989,1294299,75358331,302727623,

%T 680813577,7791676970,31847521457,358114412997,748076347451,

%U 3350419802801,195072424909909,783640119442437,1762352663794783,20169519421185050,82440430348534983

%N Numerators of continued fraction convergents to sqrt(854).

%H Vincenzo Librandi, <a href="/A042648/b042648.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, 2588598, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^15 -29*x^14 +117*x^13 -263*x^12 +3010*x^11 -12303*x^10 +138343*x^9 -288989*x^8 -1294299*x^7 -288989*x^6 -138343*x^5 -12303*x^4 -3010*x^3 -263*x^2 -117*x -29) / (x^16 -2588598*x^8 +1). - _Colin Barker_, Dec 20 2013

%t Numerator[Convergents[Sqrt[854], 30]] (* _Vincenzo Librandi_, Nov 30 2013 *)

%Y Cf. A042649, A040824.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 20 2013

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