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Summary

Description
The actually 20 partitions of a 6-set that have 3 singletons count only as 3 in this triangle.

Illustration of the triangle Sloane's A152176 with the row sums Sloane's A084708 on the right

The partitions of an n-set with k blocks are counted up to rotation and reflection.

Compare: v:Partition related number triangles

These are the possible patterns of free necklaces (or bracelets)

of length n (from 1 top to bottom) with k (from 1 left to right) different colors.
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Other versions
Only noncrossing partitions


Printable version: File:Partition necklaces.pdf

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Date/TimeThumbnailDimensionsUserComment
current21:59, 13 March 2012Thumbnail for version as of 21:59, 13 March 20121,350 × 1,350 (375 KB)Watchducklayout
14:17, 16 February 2012Thumbnail for version as of 14:17, 16 February 20121,350 × 1,350 (365 KB)Watchduck{{Information |Description=Illustration of the triangle {{oeis|A152176}} with the row sums {{oeis|A084708}} on the right This is like the Stirling numbers of the second kind ({{oeis|A008277}}),<br> but partitions
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