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 A384282 #24 May 29 2025 11:01:31
%S A384282 1,1,5,847,18245201,100333200992026,228658497157753687896157,
%T A384282 319559330566264937870155968502833579,
%U A384282 380933302489206359659857650468008737411766944866881,514667012348784999156727812545930551654233884899853599864429378680766
%N A384282 a(n) is the n-th q-Catalan number for q=n.
%F A384282 a(n) ~ n^(n*(n-1)). - _Vaclav Kotesovec_, May 29 2025
%t A384282 Table[QBinomial[2*n, n, n]/QBinomial[n+1, 1, n], {n, 0, 10}] (* _Vaclav Kotesovec_, May 29 2025 *)
%o A384282 (Sage)
%o A384282 from sage.combinat.q_analogues import q_catalan_number
%o A384282 def a(n): return q_catalan_number(n, n)
%Y A384282 Main diagonal of A384437.
%K A384282 nonn
%O A384282 0,3
%A A384282 _Seiichi Manyama_, May 29 2025