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 A327606 #15 Mar 15 2020 17:39:55 %S A327606 0,1,8,69,712,8705,123456,1994293,36163184,727518177,16081980760, %T A327606 387499155461,10108673620728,283851555270049,8536572699232592, %U A327606 273759055527114165,9325469762472018016,336282091434597013313,12797935594025234906664,512609204063389138693957 %N A327606 Expansion of e.g.f. exp(x)*(1-x)*x/(1-2*x)^2. %H A327606 Alois P. Heinz, <a href="/A327606/b327606.txt">Table of n, a(n) for n = 0..402</a> %F A327606 E.g.f: exp(x)*(1-x)*x/(1-2*x)^2. %F A327606 a(n) = Sum_{k=1..n} k * A326659(n,k). %F A327606 a(n) ~ n! * exp(1/2) * n * 2^(n-2). - _Vaclav Kotesovec_, Sep 19 2019 %p A327606 a:= n-> n!*coeff(series(exp(x)*(1-x)*x/(1-2*x)^2, x, n+1), x, n): %p A327606 seq(a(n), n=0..23); %p A327606 # second Maple program: %p A327606 a:= proc(n) option remember; `if`(n<3, n^3, %p A327606 2*(n+2)*a(n-1)-(4*n-1)*a(n-2)+2*(n-2)*a(n-3)) %p A327606 end: %p A327606 seq(a(n), n=0..23); %t A327606 With[{nn=20},CoefficientList[Series[Exp[x](1-x)(x/(1-2x)^2),{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Mar 15 2020 *) %Y A327606 Cf. A308876, A326659. %K A327606 nonn %O A327606 0,3 %A A327606 _Alois P. Heinz_, Sep 18 2019