A379858 - OEIS

%I #22 Jan 06 2025 04:19:47

%S 1,0,1,-10,157,-3136,77509,-2288896,78824953,-3105906688,137925180361,

%T -6818997285376,371578940493589,-22130352562929664,

%U 1430368670554859533,-99722125119137591296,7459992570265962997489,-596072767690463855509504,50666927756525446827810961

%N E.g.f. A(x) satisfies A(x) = exp(-x*A(x)^3) + x.

%F 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)! ).

%o (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)!));

%Y Cf. A379871, A379910, A379911.

%Y Cf. A379856, A379875.

%K sign

%O 0,4

%A _Seiichi Manyama_, Jan 05 2025