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.
%I A099446 #16 Jan 15 2025 01:45:37
%S A099446 1,3,5,3,-8,-27,-37,-3,103,240,233,-189,-1115,-1941,-1048,3405,10747,
%T A099446 14013,-433,-42528,-94127,-85053,88325,450387,748504,343605,-1448869,
%U A099446 -4269507,-5281865,811728,17484857,36819843,30752293
%N A099446 A Chebyshev transform of A057083.
%C A099446 The denominator is a parameterization of the Alexander polynomial for the knot 6_3. The g.f. is the image of the g.f. of A057083 under the Chebyshev transform A(x)->(1/(1+x^2))A(x/(1+x^2)).
%H A099446 Dror Bar-Natan, <a href="http://katlas.org/wiki/Main_Page">The Rolfsen Knot Table</a>
%H A099446 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (3,-5,3,-1).
%F A099446 G.f.: (1+x^2)/(1-3*x+5*x^2-3*x^3+x^4).
%F A099446 a(n) = Sum_{k=0..floor(n/2)} C(n-k, k)*(-1)^k*(Sum_{j=0..n-2*k} C(n-2*k-j, j)*(-3)^j*3^(n-2*k-2*j)).
%F A099446 a(n) = Sum_{k=0..floor(n/2)} C(n-k, k)*(-1)^k*A057083(n-2*k).
%F A099446 a(n) = Sum_{k=0..n} binomial((n+k)/2, k)*(-1)^((n-k)/2)*(1+(-1)^(n+k))*A057083(k)/2.
%F A099446 a(n) = Sum_{k=0..n} A099447(n-k)*(1+(-1)^k)/2.
%Y A099446 Cf. A057083, A099447.
%K A099446 easy,sign
%O A099446 0,2
%A A099446 _Paul Barry_, Oct 16 2004