File:Partitions of n with k addends.svg

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Original file ‎(SVG file, nominally 1,350 × 1,108 pixels, file size: 173 KB)

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Description

Illustration of the triangle Sloane's A008284
showing the number of partitions of n (top to bottom, starting from 1) with k (left to right, starting from 1) addends
The partitions are represented by Young diagrams.
The row sums on the right are the partition numbers Sloane's A000041.


The big numbers (in Times New Roman) show the number of partitions in the respective box of the triangle.
The small numbers (in Arial) show the index number of the partition below (compare this table).


Compare:

With biggest addend k
(reflected Young diagrams)
Set partitions up to rotation and reflection
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Date/TimeThumbnailDimensionsUserComment
current20:37, 13 March 2012Thumbnail for version as of 20:37, 13 March 20121,350 × 1,108 (173 KB)Watchducklayout
16:08, 11 March 2012Thumbnail for version as of 16:08, 11 March 20121,350 × 1,108 (169 KB)Watchduckindex numbers
16:05, 11 March 2012Thumbnail for version as of 16:05, 11 March 20121,350 × 1,108 (124 KB)Watchduck{{Information |Description=Triangle showing the number of partitions of ''n'' with ''k'' addends<br> The row sums are the partition numbers {{oeis|A000041}}. |Source={{own}} |Date= |Author= Lipedia |Pe...

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