Florian Luca: The Beast and triangular Zeckendorf representations, p.147-152

Abstract:

The Zeckendorf representation of the number of the beast $666$ is (almost) $F_{15}+F_{10}+F_1$, and the indices are all triangular numbers. Here, we show that the beast is the largest base $10$ repdigit which is a sum of distinct Fibonacci numbers with triangular indices.

Key Words: Baker's method, Fibonacci numbers.

2000 Mathematics Subject Classification: Primary: 11D61;
Secondary: 11A67.

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