2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162492The 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.6 pagesNumber TheoryAlgebraic Geometry05A17, 05A19, 11P81text