

A032219


Number of ways to partition n labeled elements into pie slices of different sizes allowing the pie to be turned over.


1



1, 1, 1, 4, 5, 16, 82, 169, 541, 2272, 43166, 99859, 479030, 2089751, 13714261, 493866559, 1397727901, 7786145776, 39662742502, 252997758007, 2026338881050, 131040136520017, 427809641611111, 2813929521468817
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OFFSET

0,4


LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..200
C. G. Bower, Transforms (2)


FORMULA

"DGJ" (bracelet, element, labeled) transform of 1, 1, 1, 1...


PROG

(PARI) seq(n)=[subst(serlaplace(p/y + polcoeff(p, 1) + polcoeff(p, 2)), y, 1)/2  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: A013628 A127007 A007837 * A032144 A032049 A258063
Adjacent sequences: A032216 A032217 A032218 * A032220 A032221 A032222


KEYWORD

nonn


AUTHOR

Christian G. Bower


EXTENSIONS

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


STATUS

approved



