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.

A041304 Numerators of continued fraction convergents to sqrt(165).

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%I A041304 #17 Jul 09 2025 00:36:16
%S A041304 12,13,77,167,912,1079,26808,27887,166243,360373,1968108,2328481,
%T A041304 57851652,60180133,358752317,777684767,4247176152,5024860919,
%U A041304 124843838208,129868699127,774187333843,1678243366813,9165404167908,10843647534721,269412945001212
%N A041304 Numerators of continued fraction convergents to sqrt(165).
%H A041304 Vincenzo Librandi, <a href="/A041304/b041304.txt">Table of n, a(n) for n = 0..200</a>
%H A041304 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,2158,0,0,0,0,0,-1).
%F A041304 G.f.: -(x^11 -12*x^10 +13*x^9 -77*x^8 +167*x^7 -912*x^6 -1079*x^5 -912*x^4 -167*x^3 -77*x^2 -13*x -12) / ((x^4 -13*x^2 +1)*(x^8 +13*x^6 +168*x^4 +13*x^2 +1)). - _Colin Barker_, Nov 06 2013
%t A041304 Numerator[Convergents[Sqrt[165],30]] (* _Harvey P. Dale_, Dec 25 2012 *)
%Y A041304 Cf. A041305.
%K A041304 nonn,frac,easy
%O A041304 0,1
%A A041304 _N. J. A. Sloane_
%E A041304 More terms from _Colin Barker_, Nov 06 2013