

A032145


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


1



1, 1, 0, 1, 4, 1, 6, 1, 64, 1009, 130, 2641, 1024, 26313, 2380, 791701, 34610944, 3279233, 147068106, 32201809, 1838416384, 584037049, 37820533300, 3098105429, 3047796018304, 282732773053601, 18988926779316
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OFFSET

0,5


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, 0, 1, 0... (odds)


PROG

(PARI) seq(n)=[subst(serlaplace(p/y), y, 1)  p < Vec(y1+serlaplace(prod(k=1, ceil(n/2), 1 + x^(2*k1)*y/(2*k1)! + O(x*x^n))))] \\ Andrew Howroyd, Sep 11 2018


CROSSREFS

Sequence in context: A072195 A032310 A032220 * A032050 A109915 A334467
Adjacent sequences: A032142 A032143 A032144 * A032146 A032147 A032148


KEYWORD

nonn


AUTHOR

Christian G. Bower


EXTENSIONS

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


STATUS

approved



