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The Mulatu numbers, introduced by Mulatu, form a fascinating sequence: \( 4, 1, 5, 6, 11, 17, 28, 45, \ldots \) \( M_k = M_{k-1} + M_{k-2}. \) In our study, we focus on identifying the conditions under which Mulatu numbers can be expressed as a product of three repdigits in a base h. Specifically, we examine these conditions for values of within the range, where is a specified upper bound.

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Mulatu Numbers as a Product of Three Repdigits in Base h

  • 会议论文

  • 发表日期：

    2026年

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  • Kossi Richmond Kakanou,
  • Pagdame Tiebekabe,
  • Ismaïla Diouf

摘要

The Mulatu numbers, introduced by Mulatu, form a fascinating sequence: \( 4, 1, 5, 6, 11, 17, 28, 45, \ldots \) \( M_k = M_{k-1} + M_{k-2}. \) In our study, we focus on identifying the conditions under which Mulatu numbers can be expressed as a product of three repdigits in a base h. Specifically, we examine these conditions for values of within the range, where is a specified upper bound.