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interests / rec.puzzles / Re: cotpi 55 - Partitioning an integer and its double

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o Re: cotpi 55 - Partitioning an integer and its doublehenh...@gmail.com

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Re: cotpi 55 - Partitioning an integer and its double

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Subject: Re: cotpi 55 - Partitioning an integer and its double
From: henha...@gmail.com (henh...@gmail.com)
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 by: henh...@gmail.com - Sun, 18 Sep 2022 21:03 UTC

On Thursday, June 28, 2012 at 1:48:00 PM UTC-7, cotpi wrote:

> A partition of a positive integer n is a list of positive
> integers, ordered from largest to smallest, such that the sum of
> the integers in the sequence is n. Each integer in the list is
> called a part.
>
> What is the ratio of the number of possible partitions of a
> positive integer n to the number of possible partitions of 2n
> into n parts?
>
> --
> Originally posted at: http://cotpi.com/p/55/
> Correct solutions will be archived at the URL mentioned above.
>
> Solutions to 'Gambling with a die': http://cotpi.com/p/54/#solutions

> number of possible partitions of 2n into n parts

e.g.
4 into 2 parts ==> (3,1) (2,2)

6 into 2 parts ==> (5,1) (4,2) (3,3)

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