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Shifts left 2 places under "EGJ" (unordered, element, labeled) transform.
1

%I #6 Sep 21 2018 02:22:04

%S 1,1,1,1,4,5,19,104,278,1572,7358,52634,339052,2042566,15536572,

%T 126846972,1151836020,10165085388,96057148432,994220454980,

%U 10590200175612,119935489527056,1408614893855392,17402089145195476,225976767338666884,3007790832940708856

%N Shifts left 2 places under "EGJ" (unordered, element, labeled) transform.

%H Andrew Howroyd, <a href="/A032319/b032319.txt">Table of n, a(n) for n = 1..200</a>

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

%o (PARI) seq(n)={my(p=1+x+O(x^n/x)); for(k=2, n-2, p*=(1 + x^k/k! + O(x^n))^((k-2)!*polcoef(p, k-2))); concat([1], Vec(serlaplace(p)))} \\ _Andrew Howroyd_, Sep 21 2018

%K nonn,eigen

%O 1,5

%A _Christian G. Bower_

%E Terms a(24) and beyond from _Andrew Howroyd_, Sep 21 2018