A367486 - OEIS

%I #9 Nov 20 2023 11:54:51

%S 1,0,4,18,168,1830,24540,388122,7084560,146650446,3395460900,

%T 86962122786,2441210321880,74542218945558,2459830123779756,

%U 87236196407090730,3308881779086345760,133667058288336876894,5729380391745420070068

%N Expansion of e.g.f. 1/(3 - 2*exp(x))^x.

%F a(0) = 1; a(n) = Sum_{k=1..n} A367489(k) * binomial(n-1,k-1) * a(n-k).

%o (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*sum(k=1, j-1, 2^k*(k-1)!*stirling(j-1, k, 2))*binomial(i-1, j-1)*v[i-j+1])); v;

%Y Cf. A004123, A367470, A367471.

%Y Cf. A354413, A367488.

%Y Cf. A367489.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Nov 19 2023