New Recurrence Relations for Tribonacci Sequence and Generalized Tribonacci Sequence
Tribonacci numbers are placed on the corners of polygons clockwise with each corner receiving a term. Then, it is argued whether there is a relationship among the numbers in the same corners. It is shown to be able to find mth term corresponding to the corner Ak in an n-gon by a relation:
where, is a Tribonaccisequence and is a Tribonacci- Lucas sequence. The relation is proved by using a binet formula obtained for . It is also argued whether the relation corrects all Generalized Tribonacci sequences by changing the beginning terms. Moreover, it is shown that mth term corresponding to the corner Ak in an n-gon can be found by using the following relation:
Keywords: Binet formula, Fibonacci Sequences, n-gon, Tribonacci Numbers, Tribonacci-Lucas Numbers
- There are currently no refbacks.