On the Richard and Raoul numbers

Orhan Dışkaya; Hamza Menken

doi:10.54187/jnrs.1201184

EN

On the Richard and Raoul numbers

Abstract

In this study, we define and examine the Richard and Raoul sequences and we deal with, in detail, two special cases, namely, Richard and Raoul sequences. We indicate that there are close relations between Richard and Raoul numbers and Padovan and Perrin numbers. Moreover, we present the Binet-like formulas, generating functions, summation formulas, and some identities for these sequences.

Keywords

Padovan numbers, Perrin numbers, Generating functions, Binet-like formula, Binomial sums

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Orhan Dışkaya
0000-0001-5698-7834
Türkiye

Hamza Menken ^*
0000-0003-1194-3162
Türkiye

Publication Date

December 31, 2022

Submission Date

November 8, 2022

Acceptance Date

December 20, 2022

Published in Issue

Year 2022 Volume: 11 Number: 3

DOI

https://doi.org/10.54187/jnrs.1201184

IZ

https://izlik.org/JA46AG44AY

APA

Dışkaya, O., & Menken, H. (2022). On the Richard and Raoul numbers. Journal of New Results in Science, 11(3), 256-264. https://doi.org/10.54187/jnrs.1201184

AMA

1.Dışkaya O, Menken H. On the Richard and Raoul numbers. JNRS. 2022;11(3):256-264. doi:10.54187/jnrs.1201184

Chicago

Dışkaya, Orhan, and Hamza Menken. 2022. “On the Richard and Raoul Numbers”. Journal of New Results in Science 11 (3): 256-64. https://doi.org/10.54187/jnrs.1201184.

EndNote

Dışkaya O, Menken H (December 1, 2022) On the Richard and Raoul numbers. Journal of New Results in Science 11 3 256–264.

IEEE

[1]O. Dışkaya and H. Menken, “On the Richard and Raoul numbers”, JNRS, vol. 11, no. 3, pp. 256–264, Dec. 2022, doi: 10.54187/jnrs.1201184.

ISNAD

Dışkaya, Orhan - Menken, Hamza. “On the Richard and Raoul Numbers”. Journal of New Results in Science 11/3 (December 1, 2022): 256-264. https://doi.org/10.54187/jnrs.1201184.

JAMA

1.Dışkaya O, Menken H. On the Richard and Raoul numbers. JNRS. 2022;11:256–264.

MLA

Dışkaya, Orhan, and Hamza Menken. “On the Richard and Raoul Numbers”. Journal of New Results in Science, vol. 11, no. 3, Dec. 2022, pp. 256-64, doi:10.54187/jnrs.1201184.

Vancouver

1.Orhan Dışkaya, Hamza Menken. On the Richard and Raoul numbers. JNRS. 2022 Dec. 1;11(3):256-64. doi:10.54187/jnrs.1201184