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A Proof of the Loehr-Warrington Amazing TEN to the Power n Conjecture

Shalosh B. Ekhad·Vince Vatter·Doron Zeilberger
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Abstract

We prove, via 30 seconds of Maple computation, that there are 10^n words in the alphabet {3,-2} of length 5n, sum 0, and such that every factor that sums to 0 and that starts with a 3 may not be immediately followed by a -2.

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Shalosh B. Ekhad, Vince Vatter, Doron Zeilberger. 2005-09-15. A Proof of the Loehr-Warrington Amazing TEN to the Power n Conjecture. https://arxiv.org/abs/math/0509347

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