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 A182017 #9 Oct 15 2024 20:28:49
%S A182017 1,5,29,165,1020,6606,44805,314299,2266834,16714004,125501364,
%T A182017 956725836,7387322749,57669478609,454492588153,3611698593169,
%U A182017 28911762536992,232949503809562,1887883708627582,15380196764853214,125893997550676627,1034945699861044243
%N A182017 Row square-sums of triangle A182013.
%F A182017 a(n) = Sum_{k=0..n} (Sum_{i=k..n} M(i))^2, where the M(n)'s are the Motzkin numbers (A001006).
%t A182017 M[n_]:=If[n==0,1,Coefficient[(1+x+x^2)^(n+1),x^n]/(n+1)]; Table[Sum[Sum[M[i],{i,k,n}]^2,{k,0,n}],{n,0,40}]
%o A182017 (Maxima) M(n):=coeff(expand((1+x+x^2)^(n+1)),x^n)/(n+1);
%o A182017 makelist(sum(sum(M(i),i,k,n)^2,k,0,n),n,0,20);
%Y A182017 Cf. A001006, A182013.
%K A182017 nonn
%O A182017 0,2
%A A182017 _Emanuele Munarini_, Apr 06 2012