Z. Du, C.M. da Fonseca (2022) An identity involving derangement numbers and Bell numbers, Applicable Analysis and Discrete Mathematics, Vol. 16, pp.485-494, 10.2298/AADM200705018D
Abstract. The aim of this paper is to establish a new identity between derangement numbers and Bell numbers. Two known identities can be recovered. We provide a combinatorial interpretation for the new identity and a representation of the derangement numbers in terms of the determinants of Hessenberg matrices.