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 A099846 #10 Sep 09 2015 01:25:47
%S A099846 1,3,5,8,15,29,55,104,196,368,692,1304,2457,4627,8713,16408,30899,
%T A099846 58189,109583,206368,388632,731872,1378264,2595552,4887953,9205011,
%U A099846 17334909,32645160,61477479,115774605,218027143,410589480,773223548,1456137296
%N A099846 An Alexander sequence for the knot 8_5.
%C A099846 The g.f. is a transformation of the g.f. 1/((1-x)(1-2x-x^2)) of A048739 under the mapping G(x)->(1/(1+x^2)^3)G(x/(1+x^2)). The denominator of the g.f. is a parameterization of the Alexander polynomial of the knot 8_5. Relates 8_5 to the Pell numbers.
%H A099846 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (3,-4,5,-4,3,-1).
%F A099846 G.f.: 1/(1-3x+4x^2-5x^3+4x^4-3x^5+x^6).
%F A099846 a(0)=1, a(1)=3, a(2)=5, a(3)=8, a(4)=15, a(5)=29, a(n)=3*a(n-1)- 4*a(n-2)+ 5*a(n-3)-4*a(n-4)+3*a(n-5)-a(n-6). - _Harvey P. Dale_, Sep 25 2011
%t A099846 CoefficientList[Series[1/(1-3x+4x^2-5x^3+4x^4-3x^5+x^6),{x,0,40}],x] (* or *) LinearRecurrence[{3,-4,5,-4,3,-1},{1,3,5,8,15,29},41] (* _Harvey P. Dale_, Sep 25 2011 *)
%Y A099846 Cf. A099854.
%K A099846 easy,nonn
%O A099846 0,2
%A A099846 _Paul Barry_, Oct 27 2004