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 A354517 #16 Aug 17 2022 03:51:04
%S A354517 1,0,-1,-3,-5,10,134,742,2325,-2820,-118756,-1138368,-7132025,
%T A354517 -20945990,196411214,4438271692,50498101545,400644382200,
%U A354517 1571151012344,-16415635331328,-500300343321365,-7486919544207050,-81415563206142166,-563533196469890228
%N A354517 Expansion of e.g.f. cos(x)^exp(x).
%F A354517 a(0) = 1; a(n) = -Sum_{k=1..n} A354519(k) * binomial(n-1,k-1) * a(n-k).
%o A354517 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(cos(x)^exp(x)))
%o A354517 (PARI) a354519(n) = sum(k=1, n\2, ((-4)^k-(-16)^k)*bernfrac(2*k)/(2*k)*binomial(n, 2*k));
%o A354517 a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=-sum(j=1, i, a354519(j)*binomial(i-1, j-1)*v[i-j+1])); v;
%Y A354517 Cf. A000248, A009189, A215515, A354518, A354519.
%K A354517 sign
%O A354517 0,4
%A A354517 _Seiichi Manyama_, Aug 16 2022