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.

A041096 Numerators of continued fraction convergents to sqrt(56).

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%I A041096 #14 Jul 09 2025 00:15:58
%S A041096 7,15,217,449,6503,13455,194873,403201,5839687,12082575,174995737,
%T A041096 362074049,5244032423,10850138895,157145976953,325142092801,
%U A041096 4709135276167,9743412645135,141116912308057,291977237261249,4228798233965543,8749573705192335,126722830106658233
%N A041096 Numerators of continued fraction convergents to sqrt(56).
%H A041096 Vincenzo Librandi, <a href="/A041096/b041096.txt">Table of n, a(n) for n = 0..100</a>
%H A041096 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,30,0,-1).
%F A041096 G.f.: -(x+1)*(x^2-8*x-7) / (x^4-30*x^2+1). - _Colin Barker_, Nov 04 2013
%t A041096 Numerator[Convergents[Sqrt[56], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%Y A041096 Cf. A041097, A010509.
%K A041096 nonn,cofr,frac,easy
%O A041096 0,1
%A A041096 _N. J. A. Sloane_
%E A041096 More terms from _Colin Barker_, Nov 04 2013