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 A128594 #7 Jan 27 2024 12:33:04 %S A128594 1,12,97,696,4784,32230,214978,1426566,9441417,62405645,412278981, %T A128594 2723566163,17996243101,118957645301,786700165122,5205396517853, %U A128594 34461624895701,228274455988134,1512920531980961,10032446308837778 %N A128594 Column 2 of triangle A128592; a(n) = coefficient of q^(2n+6) in the q-analog of the odd double factorials (2n+5)!! for n>=0. %F A128594 a(n) = [q^(2n+6)] Product_{j=1..n+3} (1-q^(2j-1))/(1-q) for n>=0. %t A128594 a[n_] := SeriesCoefficient[Product[(1-q^(2j-1))/(1-q), {j, 1, n+3}], {q, 0, 2n+6}]; %t A128594 Table[a[n], {n, 0, 30}] (* _Jean-François Alcover_, Jan 27 2024 *) %o A128594 (PARI) {a(n)=polcoeff(prod(j=1,n+3,(1-q^(2*j-1))/(1-q)),2*n+6,q)} %Y A128594 Cf. A128592; A128080; A001147 ((2n-1)!!); A128593 (column 1), A128595 (row sums). %K A128594 nonn %O A128594 0,2 %A A128594 _Paul D. Hanna_, Mar 12 2007