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 A072335 #21 Aug 22 2015 17:57:56 %S A072335 1,4,16,60,225,840,3136,11704,43681,163020,608400,2270580,8473921, %T A072335 31625104,118026496,440480880,1643897025,6135107220,22896531856, %U A072335 85451020204,318907548961,1190179175640,4441809153600,16577057438760,61866420601441,230888624967004 %N A072335 Expansion of 1/((1-x^2)*(1-4*x+x^2)). %H A072335 M. R. Bremner, <a href="http://arxiv.org/abs/1303.0920">Free associative algebras, noncommutative Grobner bases, and universal associative envelopes for nonassociative structures</a>, arXiv preprint arXiv:1303.0920, 2013 %H A072335 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a> %H A072335 <a href="/index/Ch#Cheby">Index entries for sequences related to Chebyshev polynomials.</a> %H A072335 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,0,-4,1). %F A072335 a(n) = (1/12)*((7-4*sqrt(3))*(2-sqrt(3))^n+(7+4*sqrt(3))*(2+sqrt(3))^n-3+(-1)^n). Recurrence: a(n) = 4*a(n-1)-4*a(n-3)+a(n-4). %F A072335 a(n)=sum{k=0..floor(n/2), U(n-2k, 2)} - _Paul Barry_, Nov 15 2003 %F A072335 The g.f. can also be written as 1/(1-4*x+4*x^3-x^4), which relates this sequence to the family of sequences described in A225682. %t A072335 CoefficientList[Series[1/((1-x^2)*(1-4x+x^2)),{x,0,30}],x] (* or *) LinearRecurrence[{4,0,-4,1},{1,4,16,60},30] (* _Harvey P. Dale_, Aug 22 2015 *) %o A072335 (PARI) Vec(1/((1-x^2)*(1-4*x+x^2))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012 %Y A072335 EULER transform of A072279 (with its initial 1 omitted). %Y A072335 A001353(n)^2 is a bisection of a(n). %Y A072335 Cf. A225682. %K A072335 nonn,easy %O A072335 0,2 %A A072335 _N. J. A. Sloane_, Jul 15 2002