A032146 Number of ways to partition n labeled elements into pie slices of different sizes other than one.

1, 0, 1, 1, 1, 11, 16, 57, 85, 2767, 5416, 24113, 100574, 273495, 15992432, 41127439, 216169517, 1019382935, 6416113192, 20157869121, 2445135147850, 7427652810379, 47171445392204, 249316471654319

Offset

0,6

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 0, 1, 1, 1...

Prog

(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

Crossrefs

Sequence in context: A302207 A032311 A032221 * A032051 A085487 A258288

Adjacent sequences: A032143 A032144 A032145 * A032147 A032148 A032149

Keyword

nonn

Author

Christian G. Bower

Extensions

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

Status

approved