File:Partition necklaces.svg

From Wikiversity
Jump to navigation Jump to search

Original file ‎(SVG file, nominally 1,350 × 1,350 pixels, file size: 375 KB)

This is a file from the Wikimedia Commons. The description on its description page there is shown below.

Commons is a freely licensed media file repository. You can help.

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

Quality image

This image has been assessed using the Quality image guidelines and is considered a Quality image.

العربية ∙ جازايرية ∙ беларуская ∙ беларуская (тарашкевіца) ∙ български ∙ বাংলা ∙ català ∙ čeština ∙ Cymraeg ∙ Deutsch ∙ Schweizer Hochdeutsch ∙ Zazaki ∙ Ελληνικά ∙ English ∙ Esperanto ∙ español ∙ eesti ∙ euskara ∙ فارسی ∙ suomi ∙ français ∙ galego ∙ עברית ∙ हिन्दी ∙ hrvatski ∙ magyar ∙ հայերեն ∙ Bahasa Indonesia ∙ italiano ∙ 日本語 ∙ Jawa ∙ ქართული ∙ 한국어 ∙ kurdî ∙ Lëtzebuergesch ∙ lietuvių ∙ македонски ∙ മലയാളം ∙ मराठी ∙ Bahasa Melayu ∙ Nederlands ∙ Norfuk / Pitkern ∙ polski ∙ português ∙ português do Brasil ∙ rumantsch ∙ română ∙ русский ∙ sicilianu ∙ slovenčina ∙ slovenščina ∙ shqip ∙ српски / srpski ∙ svenska ∙ தமிழ் ∙ తెలుగు ∙ ไทย ∙ Tagalog ∙ Türkçe ∙ toki pona ∙ українська ∙ vèneto ∙ Tiếng Việt ∙ 中文 ∙ 中文（简体） ∙ 中文（繁體） ∙ +/−

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
You may select the license of your choice.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

File history

Click on a date/time to view the file as it appeared at that time.

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

The following page uses this file:

Retrieved from "https://en.wikiversity.org/wiki/File:Partition_necklaces.svg"