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 A375993 #10 Sep 06 2024 06:40:19
%S A375993 1,-5,5,35,165,1075,10805,152035,2719365,58547475,1469512405,
%T A375993 42082036035,1353220758565,48264167285875,1890433757030005,
%U A375993 80656857839376035,3723074712045197765,184851684577600696275,9822823990059902723605,556226222504163445932035
%N A375993 Expansion of e.g.f. (4 - 3 * exp(x))^(5/3).
%F A375993 a(n) = Sum_{k=0..n} (Product_{j=0..k-1} (3*j-5)) * Stirling2(n,k).
%F A375993 a(n) ~ 5 * sqrt(Pi) * 2^(29/6) * n^(n - 13/6) / (9 * Gamma(1/3) * exp(n) * log(4/3)^(n - 5/3)). - _Vaclav Kotesovec_, Sep 06 2024
%o A375993 (PARI) a(n) = sum(k=0, n, prod(j=0, k-1, 3*j-5)*stirling(n, k, 2));
%Y A375993 Cf. A032033, A346982, A365558, A375949, A375952, A375992.
%K A375993 sign,easy
%O A375993 0,2
%A A375993 _Seiichi Manyama_, Sep 05 2024