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%I #13 Sep 13 2018 02:59:27
%S 1,1,1,2,7,23,136,872,6952,62813,641536,7277342,90825472,1236592403,
%T 18239374336,289719603812,4930706056192,89509486108793,
%U 1726465695809536,35259035421020282,760088211047514112,17247810060070731983,410954011551070683136,10257838886120978286752
%N Number of ways to partition n labeled elements into pie slices of odd sizes allowing the pie to be turned over.
%H Andrew Howroyd, <a href="/A032264/b032264.txt">Table of n, a(n) for n = 0..200</a>
%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>
%F "DIJ" (bracelet, indistinct, labeled) transform of 1, 0, 1, 0, ... (odds).
%F E.g.f.: 1 + (g(x) + g(x)^2/2 - log(1-g(x)))/2 where g(x) = sinh(x). - _Andrew Howroyd_, Sep 12 2018
%o (PARI) seq(n)={my(p=sinh(x + O(x*x^n))); Vec(1 + serlaplace(p + p^2/2 - log(1-p))/2)} \\ _Andrew Howroyd_, Sep 12 2018
%K nonn
%O 0,4
%A _Christian G. Bower_
%E a(0)=1 prepended and terms a(21) and beyond from _Andrew Howroyd_, Sep 12 2018
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