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 A383203 #9 Apr 19 2025 10:05:04 %S A383203 0,1,4,19,104,641,4380,32803,266768,2337505,21925236,218946003, %T A383203 2316939256,25878593313,304020964876,3745210267939,48248600421664, %U A383203 648460085178689,9072650530778084,131884007007981075,1988341404357799048,31040812899065995073,501049583881525932028 %N A383203 Expansion of e.g.f. f(x) * exp(f(x)), where f(x) = (exp(2*x) - 1)/2. %F A383203 a(n) = Sum_{k=1..n} k * 2^(n-k) * Stirling2(n,k). %o A383203 (PARI) a(n) = sum(k=1, n, k*2^(n-k)*stirling(n, k, 2)); %Y A383203 Column k=1 of A154602. %K A383203 nonn %O A383203 0,3 %A A383203 _Seiichi Manyama_, Apr 19 2025