%I #12 Sep 11 2018 21:26:21
%S 1,1,0,1,4,1,6,1,64,505,130,1321,1024,13157,2380,395851,17313664,
%T 1639617,73554666,16100905,919339264,292018525,18910614580,1549052715,
%U 1523900106304,141366386526801,9494469178116
%N Number of ways to partition n labeled elements into pie slices of different odd sizes, allowing the pie to be turned over.
%H Andrew Howroyd, <a href="/A032220/b032220.txt">Table of n, a(n) for n = 0..200</a>
%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>
%F "DGJ" (bracelet, element, labeled) transform of 1, 0, 1, 0... (odds).
%o (PARI) seq(n)=[subst(serlaplace(p/y + polcoeff(p,1) + polcoeff(p,2)),y,1)/2 | p <- Vec(serlaplace(y-1+prod(k=1, ceil(n/2), 1 + x^(2*k-1)*y/(2*k-1)! + O(x*x^n))))] \\ _Andrew Howroyd_, Sep 11 2018
%K nonn
%O 0,5
%A _Christian G. Bower_
%E a(0)=1 prepended by _Andrew Howroyd_, Sep 11 2018