A355767 E.g.f. satisfies A(x)^(A(x)^2) = 1/(1 - x*A(x)).
1, 1, 0, 6, -4, 300, -828, 42224, -266992, 11916864, -132472320, 5688511488, -95465876064, 4138883728512, -95019458907072, 4276023328128000, -125481256750340352, 5958015717717504000, -212934915549001078272, 10767675634298110255104
Offset: 0
Keywords
Programs
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PARI
a(n) = sum(k=0, n, (n-2*k+1)^(k-1)*abs(stirling(n, k, 1)));
Formula
a(n) = Sum_{k=0..n} (n-2*k+1)^(k-1) * |Stirling1(n,k)|.