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 A367489 #13 Nov 20 2023 11:55:03 %S A367489 0,0,4,18,120,1110,13140,189042,3197040,62093358,1361253900, %T A367489 33236925546,894243758760,26281928034726,837663638344260, %U A367489 28775491618091490,1059805146165293280,41657455054069680414,1740535210734651716220,77029901631623181859674 %N A367489 Expansion of e.g.f. -x * log(3 - 2*exp(x)). %F A367489 a(n) = n * Sum_{k=1..n-1} 2^k * (k-1)! * Stirling2(n-1,k). %o A367489 (PARI) a(n) = n*sum(k=1, n-1, 2^k*(k-1)!*stirling(n-1, k, 2)); %Y A367489 Cf. A052862, A367490. %Y A367489 Cf. A027882, A201339. %K A367489 nonn,easy %O A367489 0,3 %A A367489 _Seiichi Manyama_, Nov 19 2023