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arXiv · 1908.06014

A Recreational Application of Two Integer Sequences and the Generalized Repetitious Number Puzzle

John Rafael M. Antalan
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Abstract

In this article, we give a particular recreational application of the sequence A000533 and A261544 in "The On-line Encyclopedia of Integer Sequences" (OEIS). The recreational application provides a direct extension to "The Repetitious Number" puzzle of Martin Gardner contained in The Second Scientific American Book of Mathematical Puzzles and Diversions published in 1961. We then provide a generalization to the repetitious number puzzle and give a related puzzle as an illustrative example. Finally, as a consequence of the generalization, we define a family of sequence in which the sequences A000533 and A261544 belong.

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John Rafael M. Antalan. 2019-08-15. A Recreational Application of Two Integer Sequences and the Generalized Repetitious Number Puzzle. https://arxiv.org/abs/1908.06014

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