Triangular repblocks

Kafle, Bir; Luca, Florian; Togbé, Alain

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Triangular repblocks

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Luca, Florian
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Kafle, B., Luca, F., & Togbé, A. (2018). Triangular repblocks. The Fibonacci Quarterly, 56(4), 325-328.

Cite as: https://hdl.handle.net/21.11116/0000-0004-ECC7-2

Abstract

In this paper, we prove a finiteness theorem concerning repblocks
of two digits in base 10, which are represented by a fixed quadratic
polynomial. We also show that the only repblocks of two digits that
are triangular numbers are 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 5050,
5151.