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 A366546 #16 Dec 15 2023 09:10:07 %S A366546 0,0,0,6,24,60,480,5250,40656,363384,4839120,65198430,859543080, %T A366546 13311494196,233478687624,4190929145130,79746180437280, %U A366546 1667320408619760,36965002127643936,854734007793179574,20962277675893792440,544839141515795731500 %N A366546 Expansion of e.g.f. -log(1 - x^3 * exp(x)). %F A366546 a(n) = n! * Sum_{k=1..floor(n/3)} k^(n-3*k-1)/(n-3*k)!. %o A366546 (PARI) a(n) = n!*sum(k=1, n\3, k^(n-3*k-1)/(n-3*k)!); %Y A366546 Cf. A009444, A366459. %Y A366546 Cf. A292889, A346754, A358081. %K A366546 nonn %O A366546 0,4 %A A366546 _Seiichi Manyama_, Dec 14 2023