Question

maths chapter partion values

Answer 1

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The first few values of the partition function, starting with p(0) = 1, are: 1, 1, 2, 3, 5, 7, 11, 15 ...

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Answer 2

Examples:

The seven partitions of 5 are:

54 + 13 + 23 + 1 + 12 + 2 + 12 + 1 + 1 + 11 + 1 + 1 + 1 + 1

In some sources partitions are treated as the sequence of summands, rather than as an expression with plus signs. For example, the partition 2 + 2 + 1 might instead be written as the tuple (2, 2, 1) or in the even more compact form (22, 1) where the superscript indicates the number of repetitions of a term.