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A041572 Numerators of continued fraction convergents to sqrt(304). 2

%I #13 Jun 13 2015 00:49:35

%S 17,35,122,279,401,680,1081,1761,2842,7445,25177,57799,1990343,

%T 4038485,14105798,32250081,46355879,78605960,124961839,203567799,

%U 328529638,860627075,2910410863,6681448801,230079670097,466840788995,1630602037082,3728044863159

%N Numerators of continued fraction convergents to sqrt(304).

%H Vincenzo Librandi, <a href="/A041572/b041572.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 (0,0,0,0,0,0,0,0,0,0,0,115598,0,0,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^23 -17*x^22 +35*x^21 -122*x^20 +279*x^19 -401*x^18 +680*x^17 -1081*x^16 +1761*x^15 -2842*x^14 +7445*x^13 -25177*x^12 -57799*x^11 -25177*x^10 -7445*x^9 -2842*x^8 -1761*x^7 -1081*x^6 -680*x^5 -401*x^4 -279*x^3 -122*x^2 -35*x -17) / ((x^12 -340*x^6 +1)*(x^12 +340*x^6 +1)). - _Colin Barker_, Nov 19 2013

%t Numerator[Convergents[Sqrt[304], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%Y Cf. A041573, A040286.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 19 2013

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Last modified April 20 04:18 EDT 2024. Contains 371798 sequences. (Running on oeis4.)