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.

A041170 Numerators of continued fraction convergents to sqrt(95).

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%I A041170 #17 Jul 09 2025 00:22:49
%S A041170 9,10,29,39,731,770,2271,3041,57009,60050,177109,237159,4445971,
%T A041170 4683130,13812231,18495361,346728729,365224090,1077176909,1442400999,
%U A041170 27040394891,28482795890,84005986671
%N A041170 Numerators of continued fraction convergents to sqrt(95).
%H A041170 Vincenzo Librandi, <a href="/A041170/b041170.txt">Table of n, a(n) for n = 0..200</a>
%H A041170 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,78,0,0,0,-1).
%F A041170 G.f.: (9 +10*x +29*x^2 +39*x^3 +29*x^4 -10*x^5 +9*x^6 -x^7) / (1 -78*x^4 +x^8). [_Bruno Berselli_, Oct 30 2013]
%t A041170 Numerator[Convergents[Sqrt[95], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%t A041170 LinearRecurrence[{0,0,0,78,0,0,0,-1},{9,10,29,39,731,770,2271,3041},30] (* _Harvey P. Dale_, Dec 30 2020 *)
%Y A041170 Cf. A010546, A041171.
%K A041170 nonn,cofr,frac,easy
%O A041170 0,1
%A A041170 _N. J. A. Sloane_