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.

A041122 Numerators of continued fraction convergents to sqrt(70).

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%I A041122 #19 Jul 09 2025 00:18:05
%S A041122 8,17,25,67,92,251,4108,8467,12575,33617,46192,126001,2062208,4250417,
%T A041122 6312625,16875667,23188292,63252251,1035224308,2133700867,3168925175,
%U A041122 8471551217,11640476392,31752504001
%N A041122 Numerators of continued fraction convergents to sqrt(70).
%H A041122 Vincenzo Librandi, <a href="/A041122/b041122.txt">Table of n, a(n) for n = 0..200</a>
%H A041122 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,502,0,0,0,0,0,-1).
%F A041122 a(n) = 502*a(n-6)-a(n-12). G.f.: -(x+1)*(x^10-9*x^9+26*x^8-51*x^7+118*x^6-210*x^5-41*x^4-51*x^3-16*x^2-9*x-8)/(x^12-502*x^6+1). [_Colin Barker_, Jul 18 2012]
%t A041122 Numerator[Convergents[Sqrt[70], 30]] (* _Vincenzo Librandi_, Oct 26 2013 *)
%t A041122 LinearRecurrence[{0,0,0,0,0,502,0,0,0,0,0,-1},{8,17,25,67,92,251,4108,8467,12575,33617,46192,126001},30] (* _Harvey P. Dale_, Dec 12 2024 *)
%Y A041122 Cf. A010522, A041123.
%K A041122 nonn,cofr,frac,easy
%O A041122 0,1
%A A041122 _N. J. A. Sloane_