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 A384302 #12 May 26 2025 05:20:38
%S A384302 1,12,3024,2162160,3047466240,7117005772800,24858235898496000,
%T A384302 121350057687226368000,789024790105300869120000,
%U A384302 6591440263482135279009792000,68796453067268024353471856640000,877296253184539514911686618316800000,13421187715188797689536009541110988800000
%N A384302 a(n) = Product_{k=0..2*n-1} (3*n+k).
%F A384302 a(n) = RisingFactorial(3*n,2*n).
%F A384302 a(n) = (2*n)! * [x^(2*n)] 1/(1 - x)^(3*n).
%F A384302 a(n) = (2*n)! * binomial(5*n-1,2*n).
%F A384302 D-finite with recurrence 3*(3*n-1)*(3*n-2)*a(n) -5*(5*n-4)*(5*n-3)*(5*n-2)*(5*n-1)*a(n-1)=0. - _R. J. Mathar_, May 26 2025
%o A384302 (PARI) a(n) = (2*n)!*binomial(5*n-1, 2*n);
%Y A384302 Cf. A384300, A384301, A384303.
%K A384302 nonn,easy
%O A384302 0,2
%A A384302 _Seiichi Manyama_, May 25 2025