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Number of ways to partition n labeled elements into pie slices of different sizes other than one.
1

%I #14 Sep 11 2018 21:22:20

%S 1,0,1,1,1,11,16,57,85,2767,5416,24113,100574,273495,15992432,

%T 41127439,216169517,1019382935,6416113192,20157869121,2445135147850,

%U 7427652810379,47171445392204,249316471654319

%N Number of ways to partition n labeled elements into pie slices of different sizes other than one.

%H Andrew Howroyd, <a href="/A032146/b032146.txt">Table of n, a(n) for n = 0..200</a>

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

%H <a href="/index/Lu#Lyndon">Index entries for sequences related to Lyndon words</a>

%F "CGJ" (necklace, element, labeled) transform of 0, 1, 1, 1...

%o (PARI) seq(n)=[subst(serlaplace(p/y),y,1) | p <- Vec(y-1+serlaplace(prod(k=2, n, 1 + x^k*y/k! + O(x*x^n))))] \\ _Andrew Howroyd_, Sep 11 2018

%K nonn

%O 0,6

%A _Christian G. Bower_

%E a(0)=1 prepended by _Andrew Howroyd_, Sep 11 2018