%I #9 Oct 22 2017 07:27:11
%S 1,1,3,16,145,2046,40831,1078288,36229761,1508861980,76260702331,
%T 4591005777216,323906453871793,26419909067594056,2463658914613015575,
%U 260204512488337862656,30878562368653933102081,4088281211853327516484368,600094288103991706472584051
%N a(n) = n! * [x^n] exp(((1+x)^(n+1) - 1)/(n+1)).
%H Seiichi Manyama, <a href="/A294003/b294003.txt">Table of n, a(n) for n = 0..281</a>
%Y Main diagonal of A293991.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Oct 21 2017