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Symmetry
Volume 14
Issue 10
10.3390/sym14102004
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Article

On Diophantine Equations Related to Narayana’s Cows Sequence and Double Factorials or Repdigits

by
Yanjiao Ji
1,
Peng Yang
1,* and
Tianxin Cai
2
1
School of Science, University of Science and Technology Liaoning, Anshan 114051, China
2
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
*
Author to whom correspondence should be addressed.
Symmetry 2022, 14(10), 2004; https://doi.org/10.3390/sym14102004
Submission received: 27 August 2022 / Revised: 14 September 2022 / Accepted: 20 September 2022 / Published: 24 September 2022
(This article belongs to the Section B: Mathematics)
Versions Notes

Abstract

In this paper, we determine all the Narayana’s cows numbers that are factorials or double factorials. We also show that 88 is the only repdigit (i.e., a class of numbers that has reflectional symmetry across a vertical axis) that can be written as the product of consecutive Narayana’s cows numbers.
Keywords: factorial; repdigit; Narayana’s cows sequence; Diophantine equation factorial; repdigit; Narayana’s cows sequence; Diophantine equation

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MDPI and ACS Style

Ji, Y.; Yang, P.; Cai, T. On Diophantine Equations Related to Narayana’s Cows Sequence and Double Factorials or Repdigits. Symmetry 2022, 14, 2004. https://doi.org/10.3390/sym14102004

AMA Style

Ji Y, Yang P, Cai T. On Diophantine Equations Related to Narayana’s Cows Sequence and Double Factorials or Repdigits. Symmetry. 2022; 14(10):2004. https://doi.org/10.3390/sym14102004

Chicago/Turabian Style

Ji, Yanjiao, Peng Yang, and Tianxin Cai. 2022. "On Diophantine Equations Related to Narayana’s Cows Sequence and Double Factorials or Repdigits" Symmetry 14, no. 10: 2004. https://doi.org/10.3390/sym14102004

APA Style

Ji, Y., Yang, P., & Cai, T. (2022). On Diophantine Equations Related to Narayana’s Cows Sequence and Double Factorials or Repdigits. Symmetry, 14(10), 2004. https://doi.org/10.3390/sym14102004

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