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 A384453 #14 Aug 10 2025 02:37:25 %S A384453 1,1,-1,-14,1989,4551456,-212333070125,-246183190158589200, %T A384453 8363069275661695069900425,9589835030046843645163231485460480, %U A384453 -420238291486760860506028808179511473194550689,-785971734280677729025139143429963192709390305509012000000 %N A384453 a(n) is the n-th q-factorial number for q=-n. %H A384453 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>. %F A384453 a(n) = Product_{k=1..n} (1 - (-n)^k)/(1 + n). %t A384453 Table[QFactorial[n, -n], {n, 0, 11}] (* _Amiram Eldar_, Aug 10 2025 *) %o A384453 (PARI) a(n) = prod(k=1, n, (1-(-n)^k)/(1+n)); %Y A384453 Main diagonal of A384454. %Y A384453 Cf. A347611. %K A384453 sign %O A384453 0,4 %A A384453 _Seiichi Manyama_, May 30 2025