A379858 E.g.f. A(x) satisfies A(x) = exp(-x*A(x)^3) + x.
1, 0, 1, -10, 157, -3136, 77509, -2288896, 78824953, -3105906688, 137925180361, -6818997285376, 371578940493589, -22130352562929664, 1430368670554859533, -99722125119137591296, 7459992570265962997489, -596072767690463855509504, 50666927756525446827810961
Offset: 0
Keywords
Programs
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PARI
a(n) = n!*sum(k=0, n, (-3*n+4*k-1)^(n-k)*binomial(3*n-3*k+1, k)/((3*n-3*k+1)*(n-k)!));
Formula
a(n) = n! * Sum_{k=0..n} (-3*n+4*k-1)^(n-k) * binomial(3*n-3*k+1,k)/( (3*n-3*k+1)*(n-k)! ).