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 A086716 #16 Jun 23 2015 07:30:35
%S A086716 1,5,15,36,75,143,255,433,707,1119,1725,2602,3851,5607,8046,11399,
%T A086716 15963,22123,30369,41328,55792,74763,99496,131566,172931,226027,
%U A086716 293864,380160,489480,627428
%N A086716 Convolution of triangular numbers with partition numbers.
%C A086716 Partial sum operator applied to partition numbers 4 times.
%F A086716 a(n) = ((n+1)*(n+2)*(A000070(n)-1) - (2*n+3)*A182738(n) + A259279(n))/2. - _Vaclav Kotesovec_, Jun 23 2015
%F A086716 a(n) ~ 3*sqrt(n) * exp(Pi*sqrt(2*n/3)) / (sqrt(2)*Pi^3). - _Vaclav Kotesovec_, Jun 23 2015
%t A086716 s1=s2=s3=0;lst={};Do[AppendTo[lst,s3+=s2+=s1+=PartitionsP[n]],{n,5!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Jul 16 2009 *)
%t A086716 Table[Sum[PartitionsP[k]*(n-k+1)*(n-k+2)/2,{k,1,n}],{n,1,50}] (* _Vaclav Kotesovec_, Jun 23 2015 *)
%Y A086716 Cf. A000041, A000217, A182738, A259279.
%K A086716 nonn
%O A086716 1,2
%A A086716 _Jon Perry_, Jul 29 2003