Assume that $w_n$ is the $n$th term of either Padovan or Perrin sequence. In this paper, we solve the equation $w_n=m!$ completely.
"On factorials in Perrin and Padovan sequences,"
Turkish Journal of Mathematics: Vol. 43:
5, Article 42.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss5/42