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.

A099447 An Alexander sequence for the knot 6_3.

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%I A099447 #11 Oct 07 2017 11:38:45
%S A099447 1,3,4,0,-13,-30,-29,24,140,243,130,-429,-1348,-1752,67,5346,11795,
%T A099447 10608,-11180,-56541,-93694,-42525,182452,535440,660179,-106782,
%U A099447 -2197373,-4613112,-3832996,5081235,22766722,36008115
%N A099447 An Alexander sequence for the knot 6_3.
%C A099447 The denominator is a parameterization of the Alexander polynomial for the knot 6_3. 1/(1-3*x+5*x^2-3*x^3+x^4) is the image of the g.f. of A057083 under the modified Chebyshev transform A(x)->(1/(1+x^2)^2)A(x/(1+x^2)).
%H A099447 Dror Bar-Natan, <a href="http://katlas.org/wiki/Main_Page">The Rolfsen Knot Table</a>
%H A099447 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (3,-5,3,-1).
%F A099447 G.f.: (1-x)*(1+x)*(1+x^2)/(1-3x+5x^2-3x^3+x^4); - corrected Nov 24 2012
%F A099447 a(n)=A099446(n)-A099446(n-2).
%t A099447 LinearRecurrence[{3,-5,3,-1},{1,3,4,0,-13},40] (* _Harvey P. Dale_, Oct 07 2017 *)
%K A099447 easy,sign
%O A099447 0,2
%A A099447 _Paul Barry_, Oct 16 2004