On a quaternionic sequence with Vietoris’ numbers
Keyword(s):
Special integers sequences have been the center of attention for many researchers, as well as the sequences of quaternions where its components are the elements of these sequences. Motivated by a rational sequence, we consider the quaternions with components Vietoris? numbers and investigate some of its properties. For this sequence a two and three term recurrence relation is established, as well as a Binet?s type formula. Moreover the generating function for this sequence is introduced and also the determinant of some tridiagonal matrices are used in order to find elements of this sequence.
1930 ◽
Vol 2
(2)
◽
pp. 71-82
◽
2002 ◽
Vol 29
(12)
◽
pp. 727-736
◽
2019 ◽
Vol 25
(11)
◽
pp. 1604-1643