A385550 E.g.f. A(x) satisfies A(x) = Sum_{k>=0} x^k/k! * A(-k*x).
1, 1, -1, -8, -3, 516, 235, -336258, -3909367, 1462013704, 28386802071, -43272301150110, -3999150112115411, 7064064858964289580, 1224799123758409303091, -6776368902478388538739274, -3903339581644484604889375215, 32981625415507385681195122476432
Offset: 0
Keywords
Programs
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PARI
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, (j-i)^j*binomial(i, j)*v[j+1])); v;
Formula
a(0) = 1; a(n) = Sum_{k=0..n-1} (k-n)^k * binomial(n,k) * a(k).