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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 (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)

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(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: 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

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Last modified October 18 01:01 EDT 2018. Contains 316297 sequences. (Running on oeis4.)