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.

A041140 Numerators of continued fraction convergents to sqrt(79).

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%I A041140 #16 Jul 09 2025 00:19:57
%S A041140 8,9,71,80,1351,1431,11368,12799,216152,228951,1818809,2047760,
%T A041140 34582969,36630729,290998072,327628801,5533058888,5860687689,
%U A041140 46557872711,52418560400,885254839111,937673399511,7448968635688,8386642035199,141635241198872,150021883234071
%N A041140 Numerators of continued fraction convergents to sqrt(79).
%H A041140 Vincenzo Librandi, <a href="/A041140/b041140.txt">Table of n, a(n) for n = 0..200</a>
%H A041140 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,160,0,0,0,-1).
%F A041140 G.f.: -(x^7-8*x^6+9*x^5-71*x^4-80*x^3-71*x^2-9*x-8) / (x^8-160*x^4+1). - _Colin Barker_, Nov 05 2013
%t A041140 Numerator[Convergents[Sqrt[79], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%t A041140 LinearRecurrence[{0,0,0,160,0,0,0,-1},{8,9,71,80,1351,1431,11368,12799},30] (* _Harvey P. Dale_, Sep 08 2024 *)
%Y A041140 Cf. A010531, A041141.
%K A041140 nonn,cofr,frac,easy
%O A041140 0,1
%A A041140 _N. J. A. Sloane_
%E A041140 More terms from _Colin Barker_, Nov 05 2013