Academic Journal of Mathematical Sciences, 2025, 6(1); doi: 10.25236/AJMS.2025.060107.
Yuxuan Ouyang
Saint Andrew's School (FL), Boca Raton, USA, 33434
In this paper, we examine the distribution of the last digits in integer sequences generated by functions of positive integers. Specifically, we investigate the distribution of last digits in squares of integers and the last digits of expressions such as n2 + n and ax2 + bx + c, for positive integer values. We derive the theoretical probabilities of these last digits and provide proofs for the distribution properties, including symmetry characteristics.
last digits; distribution; integer sequences; quadratic forms
Yuxuan Ouyang. Distribution of Last Digits in Integer Sequences. Academic Journal of Mathematical Sciences (2025) Vol. 6, Issue 1: 58-62. https://doi.org/10.25236/AJMS.2025.060107.
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