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 A128595 #7 Jan 27 2024 13:47:26 %S A128595 1,2,5,26,189,1734,19305,253370,3828825,65473006,1249937325, %T A128595 26352843470,608142583125,15247003381854,412685556908625, %U A128595 11993673995924378,372509404162520625,12313505304343363126,431620764875678503125 %N A128595 Row sums of triangle A128592. %C A128595 A128592(n,k) is the coefficient of q^(nk+k) in the q-analog of the odd double factorials (2n-1)!!. %F A128595 a(n) = Sum_{k=0..n} { [q^(nk+k)] Product_{j=1..n+1} (1-q^(2j-1))/(1-q) } for n>=0. %t A128595 a[n_] := Sum[SeriesCoefficient[Product[(1-q^(2j-1))/(1-q), {j, 1, n+1}], {q, 0, k(n+1)}], {k, 0, n}]; %t A128595 Table[a[n], {n, 0, 30}] (* _Jean-François Alcover_, Jan 27 2024 *) %o A128595 (PARI) {a(n)=sum(k=0,n,polcoeff(prod(j=1,n+1,(1-q^(2*j-1))/(1-q)),(n+1)*k,q))} %Y A128595 Cf. A128592; A128080; A001147 ((2n-1)!!); A128593 (column 1), A128594 (column 2). %K A128595 nonn %O A128595 0,2 %A A128595 _Paul D. Hanna_, Mar 12 2007