Back
 OJDM  Vol.10 No.1 , January 2020
Infinite Sets of Related b-wARH Pairs
Abstract: Let b ≥ 2 be a numeration base. A b-weak additive Ramanujan-Hardy (or b-wARH) number N is a non-negative integer for which there exists at least one non-negative integer A, such that the sum of A and the sum of base b digits of N, added to the reversal of the sum, give N. We say that a pair of such numbers are related of degrees d ≥ 0 if their difference is d. We show for all numeration bases an infinity of degrees d for which there exists an infinity of pairs of b-wARH numbers related of degree d.
Cite this paper: Nitica, C. and Nitica, V. (2020) Infinite Sets of Related b-wARH Pairs. Open Journal of Discrete Mathematics, 10, 1-3. doi: 10.4236/ojdm.2020.101001.
References

[1]   Nițică, V. (2018) About Some Relatives of the Taxicab Number. Journal of Integer Sequences, 21, Article 18.9.4.

[2]   Nițică, V. (2019) Infinite Sets of b-Additive and b-Multiplicative Ramanujan-Hardy Numbers. Journal of Integer Sequences, 22, Article 19.4.3.

[3]   Nițică, V. and Török, A. About Some Relatives of Palindromes. arXiv:1908.00713.

[4]   Nițică, V. High Degree b-Niven Numbers, to Appear in Integers.
http://arxiv.org/abs/1807.02573

 
 
Top