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A041960 Numerators of continued fraction convergents to sqrt(503). 2

%I #16 Jul 22 2022 17:47:01

%S 22,45,112,157,3409,3566,10541,24648,1095053,2214754,5524561,7739315,

%T 168050176,175789491,519629158,1215047807,53981732666,109178513139,

%U 272338758944,381517272083,8284201472687,8665718744770,25615638962227,59896996669224,2661083492408083

%N Numerators of continued fraction convergents to sqrt(503).

%H Vincenzo Librandi, <a href="/A041960/b041960.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 (0,0,0,0,0,0,0,49296,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -22*x^14 +45*x^13 -112*x^12 +157*x^11 -3409*x^10 +3566*x^9 -10541*x^8 -24648*x^7 -10541*x^6 -3566*x^5 -3409*x^4 -157*x^3 -112*x^2 -45*x -22) / (x^16 -49296*x^8 +1). - _Colin Barker_, Nov 28 2013

%t Numerator[Convergents[Sqrt[503], 30]] (* _Vincenzo Librandi_, Nov 12 2013 *)

%Y Cf. A041961, A040480.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 28 2013

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)