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.

A041132 Numerators of continued fraction convergents to sqrt(75).

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%I A041132 #15 Jul 09 2025 00:19:06
%S A041132 8,9,17,26,433,459,892,1351,22508,23859,46367,70226,1169983,1240209,
%T A041132 2410192,3650401,60816608,64467009,125283617,189750626,3161293633,
%U A041132 3351044259,6512337892,9863382151,164326452308,174189834459,338516286767,512706121226,8541814226383
%N A041132 Numerators of continued fraction convergents to sqrt(75).
%H A041132 Vincenzo Librandi, <a href="/A041132/b041132.txt">Table of n, a(n) for n = 0..200</a>
%H A041132 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,52,0,0,0,-1).
%F A041132 G.f.: -(x^7-8*x^6+9*x^5-17*x^4-26*x^3-17*x^2-9*x-8) / (x^8-52*x^4+1). - _Colin Barker_, Nov 05 2013
%t A041132 Numerator[Convergents[Sqrt[75], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%Y A041132 Cf. A010527, A041133.
%K A041132 nonn,cofr,frac,easy
%O A041132 0,1
%A A041132 _N. J. A. Sloane_
%E A041132 More terms from _Colin Barker_, Nov 05 2013