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Partitions and the dancing bear

Published online by Cambridge University Press:  01 August 2016

Nick Mackinnon*
Affiliation:
Winchester College

Extract

A partition of n is a decomposition of n into a sum of positive integers. So the 5 partitions of 4 are

The number of partitions of n is written p(n) and (with the convection that p(0) = 1) the sequence p(0), p(1), p(2), ... begins

1, 1, 2, 3, 5, 7, 11, 15,....

Type
Research Article
Copyright
Copyright © The Mathematical Association 1990

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