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%I #9 Aug 01 2016 14:42:20
%S 1,1,7,2971,326922081,25571928251231076,3104750712141723393459934903,
%T 1106411839720559249283387766293758050197271,
%U 1982711933502621451047063899803427489760228712955842831202561
%N a(n) = Sum_{k>=0} (k+n)!^n/((k+n)!*(k!^n)*exp(1)).
%F a(n) = A090210(n,n). - _Alois P. Heinz_, Aug 01 2016
%o (PARI) precision 1000 digits : for(n=1,9,print1(round(sum(k=0,200,(k+n)!^n/((k+n)!*(k!^n)*exp(1)))),","))
%Y Cf. A090210.
%K easy,nonn
%O 0,3
%A _Benoit Cloitre_, May 07 2002
%E a(0)=1 prepended by _Alois P. Heinz_, Aug 01 2016
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