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More Designer Decimals: The Integers and Their Geometric Extensions

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Abstract:

The fraction 10000/9801 has an intriguing decimal expansion, namely 1.02030405... In this paper, we investigate the properties of this fraction via an arithmetical approach. The approach also yields a class of fractions whose decimal expansions involve higher-dimensional analogues of the integers, the n-dimensional pyramidal numbers, thereby showing both arithmetic and geometric connections.

Document Type: Research Article

Publication date: November 1, 2006

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maa/cmj/2006/00000037/00000005/art00003
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