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.

A041162 Numerators of continued fraction convergents to sqrt(91).

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%I A041162 #15 Jul 09 2025 00:21:54
%S A041162 9,10,19,105,124,725,849,1574,29181,30755,59936,330435,390371,2282290,
%T A041162 2672661,4954951,91861779,96816730,188678509,1040209275,1228887784,
%U A041162 7184648195,8413535979,15598184174,289180851111,304779035285,593959886396,3274578467265
%N A041162 Numerators of continued fraction convergents to sqrt(91).
%H A041162 Vincenzo Librandi, <a href="/A041162/b041162.txt">Table of n, a(n) for n = 0..200</a>
%H A041162 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,3148,0,0,0,0,0,0,0,-1).
%F A041162 G.f.: -(x^15 -9*x^14 +10*x^13 -19*x^12 +105*x^11 -124*x^10 +725*x^9 -849*x^8 -1574*x^7 -849*x^6 -725*x^5 -124*x^4 -105*x^3 -19*x^2 -10*x -9) / (x^16 -3148*x^8 +1). - _Colin Barker_, Nov 05 2013
%t A041162 Numerator[Convergents[Sqrt[91], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%Y A041162 Cf. A010542, A041163.
%K A041162 nonn,cofr,frac,easy
%O A041162 0,1
%A A041162 _N. J. A. Sloane_
%E A041162 More terms from _Colin Barker_, Nov 05 2013