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.

A041894 Numerators of continued fraction convergents to sqrt(469).

This page as a plain text file.
%I A041894 #20 Jul 09 2025 01:51:44
%S A041894 21,22,43,65,693,4223,42923,47146,90069,137215,5853099,5990314,
%T A041894 11843413,17833727,190180683,1158917825,11779358933,12938276758,
%U A041894 24717635691,37655912449,1606265958549,1643921870998,3250187829547,4894109700545,52191284834997
%N A041894 Numerators of continued fraction convergents to sqrt(469).
%H A041894 Vincenzo Librandi, <a href="/A041894/b041894.txt">Table of n, a(n) for n = 0..200</a>
%H A041894 <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 274430, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
%F A041894 G.f.: -(x^19 -21*x^18 +22*x^17 -43*x^16 +65*x^15 -693*x^14 +4223*x^13 -42923*x^12 +47146*x^11 -90069*x^10 -137215*x^9 -90069*x^8 -47146*x^7 -42923*x^6 -4223*x^5 -693*x^4 -65*x^3 -43*x^2 -22*x -21) / (x^20 -274430*x^10 +1). - _Colin Barker_, Nov 26 2013
%t A041894 Numerator[Convergents[Sqrt[469], 30]] (* _Harvey P. Dale_, Mar 28 2013 *)
%Y A041894 Cf. A041895, A176443, A040447.
%K A041894 nonn,cofr,frac,easy,less
%O A041894 0,1
%A A041894 _N. J. A. Sloane_
%E A041894 More terms from _Colin Barker_, Nov 26 2013