Generalized Woodall Numbers: An Investigation of Properties of Woodall and Cullen Numbers via Their Third Order Linear Recurrence Relations

Authors : Yüksel SOYKAN, Vedat İRGE

Pages : 69-81

Doi:10.32323/ujma.1057287

View : 19 | Download : 11

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :In this paper, we investigate the generalized Woodall sequences and we deal with, in detail, four special cases, namely, modified Woodall, modified Cullen, Woodall and Cullen sequences. We present Binet`s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.
Keywords : Cullen numbers, Tribonacci numbers, Woodall numbers