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 A084267 #13 Jun 13 2015 00:51:04
%S A084267 1,2,4,7,11,17,24,33,44,57,72,89,109,131,156,184,215,250,288,330,376,
%T A084267 426,480,538,601,668,740,817,899,987,1080,1179,1284,1395,1512,1635,
%U A084267 1765,1901,2044,2194,2351,2516,2688,2868,3056,3252,3456,3668,3889,4118,4356
%N A084267 Partial sums of a binomial quotient.
%C A084267 Partial sums of A011865 are a(n)=sum{k=0..n, floor(C(k+2,4)/C(k+2,2))}.
%H A084267 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,2,-3,3,-2,3,-3,2,-3,3,-1).
%F A084267 a(n)=sum{k=0..n, floor(C(k+4, 4)/C(k+2, 2))}
%F A084267 G.f.: (x^4-x^3+x^2-x+1)/[(1-x)^4(1+x^2)(1+x+x^2)(1-x^2+x^4)].
%t A084267 Accumulate[Table[Floor[Binomial[n,4]/Binomial[n,2]],{n,6,70}]] (* _Harvey P. Dale_, Jul 19 2012 *)
%K A084267 easy,nonn
%O A084267 0,2
%A A084267 _Paul Barry_, Jun 01 2003