Matricial formulae for partitions

Details Matricial formulae for partitions Matricial formulae for partitions

2008-06-07

arxiv.org/abs/0806.1273v1

Mathematics

Number Theory

6 pages

Scientific paper

The exponential of the triangular matrix whose entries in the diagonal at distance $n$ from the principal diagonal are all equal to the sum of the inverse of the divisors of $n$ is the triangular matrix whose entries in the diagonal at distance $n$ from the principal diagonal are all equal to the number of partitions of $n$. A similar result is true for any pair of sequences satisfying a special recurrence.

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