A362275 - OEIS

%I #11 Apr 16 2023 01:33:20

%S 1,1,-1,4,-3,-44,595,-5214,36953,-176840,-498969,31239550,-605916971,

%T 9001842708,-110410388101,998140500826,-1114748107215,

%U -247879285927184,8410011463871695,-201620611378992906,4024515940445770541,-66832538504513547380

%N Expansion of e.g.f. exp(x*exp(-x*exp(-x))).

%H Winston de Greef, <a href="/A362275/b362275.txt">Table of n, a(n) for n = 0..460</a>

%F a(n) = Sum_{i=0..n} (-1)^(n-i) * binomial(n,i) * Sum_{j=0..n-i} i^j * j^(n-i-j) * binomial(n-i,j).

%o (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*exp(-x*exp(-x)))))

%Y Cf. A000949, A362273, A362274.

%Y Cf. A362247.

%K sign

%O 0,4

%A _Seiichi Manyama_, Apr 13 2023