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

Yüksel Soykan; Vedat İrge

doi:10.32323/ujma.1057287

EN

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

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

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Yüksel Soykan
0000-0002-1895-211X
Türkiye

Vedat İrge ^*
Türkiye

Publication Date

June 30, 2022

Submission Date

January 13, 2022

Acceptance Date

June 1, 2022

Published in Issue

Year 2022 Volume: 5 Number: 2

DOI

https://doi.org/10.32323/ujma.1057287

IZ

https://izlik.org/JA79GF52ZE

APA

Soykan, Y., & İrge, V. (2022). Generalized Woodall Numbers: An Investigation of Properties of Woodall and Cullen Numbers via Their Third Order Linear Recurrence Relations. Universal Journal of Mathematics and Applications, 5(2), 69-81. https://doi.org/10.32323/ujma.1057287

AMA

1.Soykan Y, İrge V. Generalized Woodall Numbers: An Investigation of Properties of Woodall and Cullen Numbers via Their Third Order Linear Recurrence Relations. Univ. J. Math. Appl. 2022;5(2):69-81. doi:10.32323/ujma.1057287

Chicago

Soykan, Yüksel, and Vedat İrge. 2022. “Generalized Woodall Numbers: An Investigation of Properties of Woodall and Cullen Numbers via Their Third Order Linear Recurrence Relations”. Universal Journal of Mathematics and Applications 5 (2): 69-81. https://doi.org/10.32323/ujma.1057287.

EndNote

Soykan Y, İrge V (June 1, 2022) Generalized Woodall Numbers: An Investigation of Properties of Woodall and Cullen Numbers via Their Third Order Linear Recurrence Relations. Universal Journal of Mathematics and Applications 5 2 69–81.

IEEE

[1]Y. Soykan and V. İrge, “Generalized Woodall Numbers: An Investigation of Properties of Woodall and Cullen Numbers via Their Third Order Linear Recurrence Relations”, Univ. J. Math. Appl., vol. 5, no. 2, pp. 69–81, June 2022, doi: 10.32323/ujma.1057287.

ISNAD

Soykan, Yüksel - İrge, Vedat. “Generalized Woodall Numbers: An Investigation of Properties of Woodall and Cullen Numbers via Their Third Order Linear Recurrence Relations”. Universal Journal of Mathematics and Applications 5/2 (June 1, 2022): 69-81. https://doi.org/10.32323/ujma.1057287.

JAMA

1.Soykan Y, İrge V. Generalized Woodall Numbers: An Investigation of Properties of Woodall and Cullen Numbers via Their Third Order Linear Recurrence Relations. Univ. J. Math. Appl. 2022;5:69–81.

MLA

Soykan, Yüksel, and Vedat İrge. “Generalized Woodall Numbers: An Investigation of Properties of Woodall and Cullen Numbers via Their Third Order Linear Recurrence Relations”. Universal Journal of Mathematics and Applications, vol. 5, no. 2, June 2022, pp. 69-81, doi:10.32323/ujma.1057287.

Vancouver

1.Yüksel Soykan, Vedat İrge. Generalized Woodall Numbers: An Investigation of Properties of Woodall and Cullen Numbers via Their Third Order Linear Recurrence Relations. Univ. J. Math. Appl. 2022 Jun. 1;5(2):69-81. doi:10.32323/ujma.1057287