A032313 - OEIS

%I #8 Sep 11 2018 16:02:00

%S 1,2,3,7,21,41,178,743,1893,7141,40686,242045,734858,3426541,16135967,

%T 125737204,1002664205,3666743533,19447711462,106460517281,

%U 670516591350,6612951841507,70889373855917,294866473433284,1838126653955566,10943388725636241,76804122461785213

%N "EGJ" (unordered, element, labeled) transform of 2,1,1,1...

%H Andrew Howroyd, <a href="/A032313/b032313.txt">Table of n, a(n) for n = 0..200</a>

%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>

%F E.g.f: (1 + x)*Product_{k > 0} (1 + x^k/k!). - _Andrew Howroyd_, Sep 11 2018

%o (PARI) seq(n)={Vec(serlaplace((1 + x)*prod(k=1, n, (1 + x^k/k! + O(x*x^n)))))} \\ _Andrew Howroyd_, Sep 11 2018

%K nonn

%O 0,2

%A _Christian G. Bower_

%E a(0)=1 prepended and terms a(23) and beyond from _Andrew Howroyd_, Sep 11 2018