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 A370701 #7 Feb 27 2024 09:48:27 %S A370701 1,1,2,0,0,0,360,2520,20160,120960,1209600,13305600,179625600, %T A370701 2335132800,32691859200,479480601600,7671689625600,130418723635200, %U A370701 2356429211136000,44772155011584000,895443100231680000,18794168013164544000,413471696289619968000 %N A370701 Expansion of e.g.f. exp(-x^3)/(1-x). %F A370701 a(n) = n! * Sum_{k=0..floor(n/3)} (-1)^k/k!. %o A370701 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(-x^3)/(1-x))) %o A370701 (PARI) a(n) = n!*sum(k=0, n\3, (-1)^k/k!); %Y A370701 Cf. A000166, A370700. %Y A370701 Cf. A370696. %K A370701 nonn,easy %O A370701 0,3 %A A370701 _Seiichi Manyama_, Feb 27 2024