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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 (list; graph; refs; listen; history; text; internal format)
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(y-1+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

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Last modified October 19 22:00 EDT 2018. Contains 316378 sequences. (Running on oeis4.)