%I #9 Mar 05 2019 01:53:40
%S 1,-1,-3,-201,-328975,-24866803361,-139308071489312831,
%T -82606210548424879390169217,-6984963414431972003347406551951687935,
%U -109110687852301656115645192848607902864427297823233
%N a(n) = [x^n] 1/(Sum_{k=0..n} (k!)^n * x^k).
%H Seiichi Manyama, <a href="/A306630/b306630.txt">Table of n, a(n) for n = 0..30</a>
%Y Main diagonal of A306629.
%K sign
%O 0,3
%A _Seiichi Manyama_, Mar 02 2019