%I #4 Jun 03 2024 18:22:00
%S 1,2,4,33,394025,201957164678370265209,
%T 84193682293466007059985338904628711064119559738613309218248322664618484704217611109073
%N Antidiagonal sums of A373343.
%C The next term is too large to be included in Data.
%t A373343[n_,k_]:=(n!)^(n^(k-1))/n^k; a[n_]:=Sum[A373343[n-k+1,k],{k,n}]; Array[a,7]
%Y Cf. A373343.
%K nonn
%O 1,2
%A _Stefano Spezia_, Jun 01 2024