  The aim of this work is to consider the bicomplex third-order Jacobsthal
quaternions and to present some properties involving this sequence, including
the Binet-style formulae and the generating functions. Furthermore, Cassini's
identity and d'Ocagne's identity for this type of bicomplex quaternions are
given, and a different way to find the $n$-th term of this sequence is stated
using the determinant of a four-diagonal matrix whose entries are bicomplex
third-order quaternions.
