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.

A041130 Numerators of continued fraction convergents to sqrt(74).

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%I A041130 #18 Jul 09 2025 00:18:50
%S A041130 8,9,17,26,43,714,757,1471,2228,3699,61412,65111,126523,191634,318157,
%T A041130 5282146,5600303,10882449,16482752,27365201,454325968,481691169,
%U A041130 936017137,1417708306,2353725443,39077315394,41431040837,80508356231,121939397068,202447753299
%N A041130 Numerators of continued fraction convergents to sqrt(74).
%H A041130 Vincenzo Librandi, <a href="/A041130/b041130.txt">Table of n, a(n) for n = 0..200</a>
%H A041130 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,86,0,0,0,0,1).
%F A041130 G.f.: -(x^9-8*x^8+9*x^7-17*x^6+26*x^5+43*x^4+26*x^3+17*x^2+9*x+8) / (x^10+86*x^5-1). - _Colin Barker_, Nov 05 2013
%t A041130 Numerator[Convergents[Sqrt[74], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%t A041130 LinearRecurrence[{0,0,0,0,86,0,0,0,0,1},{8,9,17,26,43,714,757,1471,2228,3699},40] (* _Harvey P. Dale_, Sep 18 2024 *)
%Y A041130 Cf. A010526, A041131.
%K A041130 nonn,cofr,frac,easy
%O A041130 0,1
%A A041130 _N. J. A. Sloane_
%E A041130 More terms from _Colin Barker_, Nov 05 2013