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.

A041110 Numerators of continued fraction convergents to sqrt(63).

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%I A041110 #19 Jul 09 2025 00:17:19
%S A041110 7,8,119,127,1897,2024,30233,32257,481831,514088,7679063,8193151,
%T A041110 122383177,130576328,1950451769,2081028097,31084845127,33165873224,
%U A041110 495407070263,528572943487,7895428279081,8424001222568
%N A041110 Numerators of continued fraction convergents to sqrt(63).
%H A041110 Vincenzo Librandi, <a href="/A041110/b041110.txt">Table of n, a(n) for n = 0..200</a>
%H A041110 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,16,0,-1).
%F A041110 a(n) = 16*a(n-2)-a(n-4). G.f.: (7+8*x+7*x^2-x^3)/(1-16*x^2+x^4). [_Colin Barker_, Jul 15 2012]
%t A041110 Numerator[Convergents[Sqrt[63], 30]] (* _Vincenzo Librandi_, Oct 26 2013 *)
%t A041110 LinearRecurrence[{0,16,0,-1},{7,8,119,127},30] (* _Harvey P. Dale_, Dec 17 2019 *)
%Y A041110 Cf. A010516, A041111.
%K A041110 nonn,cofr,frac,easy
%O A041110 0,1
%A A041110 _N. J. A. Sloane_