cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A041804 Numerators of continued fraction convergents to sqrt(423).

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%I A041804 #18 Jul 09 2025 01:27:46
%S A041804 20,21,41,144,617,1995,2612,4607,186892,191499,378391,1326672,5685079,
%T A041804 18381909,24066988,42448897,1722022868,1764471765,3486494633,
%U A041804 12223955664,52382317289,169370907531,221753224820,391124132351,15866718518860,16257842651211
%N A041804 Numerators of continued fraction convergents to sqrt(423).
%H A041804 Vincenzo Librandi, <a href="/A041804/b041804.txt">Table of n, a(n) for n = 0..200</a>
%H A041804 <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 9214, 0, 0, 0, 0, 0, 0, 0, -1).
%F A041804 G.f.: -(x^15 -20*x^14 +21*x^13 -41*x^12 +144*x^11 -617*x^10 +1995*x^9 -2612*x^8 -4607*x^7 -2612*x^6 -1995*x^5 -617*x^4 -144*x^3 -41*x^2 -21*x -20) / ((x^8 -96*x^4 +1)*(x^8 +96*x^4 +1)). - _Colin Barker_, Nov 25 2013
%t A041804 Numerator[Convergents[Sqrt[423], 30]] (* _Harvey P. Dale_, Oct 09 2013 *)
%Y A041804 Cf. A041805, A040402.
%K A041804 nonn,cofr,frac,easy
%O A041804 0,1
%A A041804 _N. J. A. Sloane_
%E A041804 More terms from _Colin Barker_, Nov 25 2013