%I #24 Apr 16 2021 08:51:06
%S 1,1,-4,124,-31492,95311228,-4353197274628,3536438210329520764,
%T -58773626061322570140840196,22612364715316383254816814332673916,
%U -224919094679732422549471022558879877877853188,63900685360824803637692081638626416736937520172676174972
%N G.f.: 1 + 1^1*x/(1 + 2^2*x/(1 + 3^3*x/(1 + 4^4*x/(1 + 5^5*x/(1 + ...))))).
%H Seiichi Manyama, <a href="/A343427/b343427.txt">Table of n, a(n) for n = 0..37</a>
%F G.f.: 1/(Sum_{k>=0} A307084(k) * (-x)^k).
%o (PARI) a(n) = my(A=1+O(x)); for(i=1, n, A=1+(n-i+1)^(n-i+1)*x/A); polcoef(A, n);
%Y Cf. A000698, A307084, A343428.
%K sign
%O 0,3
%A _Seiichi Manyama_, Apr 15 2021