Binomial Transform of the Generalized Tribonacci Sequence

Y¨uksel Soykan
2020 Asian Research Journal of Mathematics  
In this paper, we define the binomial transform of the generalized Tribonacci sequence and as special cases, the binomial transform of the Tribonacci, Tribonacci-Lucas, Tribonacci-Perrin, modified Tribonacci, modified Tribonacci-Lucas and adjusted Tribonacci-Lucas sequences will be introduced. We investigate their properties in details. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these binomial transforms. Moreover, we give some identities
more » ... nd matrices related with these binomial transforms.
doi:10.9734/arjom/2020/v16i1030229 fatcat:2dsf66swnnaydnadiacvmmjuzu