

A032144


Number of ways to partition n labeled elements into pie slices of different sizes.


1



1, 1, 1, 4, 5, 16, 142, 274, 989, 4288, 85946, 198694, 956474, 4175406, 27422046, 987716734, 2795429469, 15572226016, 79325378242, 505995253870, 4052677330190, 262080271991458, 855619281477786, 5627859038743330
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OFFSET

0,4


LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..200
C. G. Bower, Transforms (2)
Index entries for sequences related to Lyndon words


FORMULA

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


PROG

(PARI) seq(n)=[subst(serlaplace(p/y), y, 1)  p < Vec(y1+serlaplace(prod(k=1, n, 1 + x^k*y/k! + O(x*x^n))))] \\ Andrew Howroyd, Sep 11 2018


CROSSREFS

Sequence in context: A127007 A007837 A032219 * A032049 A258063 A045680
Adjacent sequences: A032141 A032142 A032143 * A032145 A032146 A032147


KEYWORD

nonn


AUTHOR

Christian G. Bower


EXTENSIONS

a(0)=1 prepended by Andrew Howroyd, Sep 11 2018


STATUS

approved



