Abstract
The number of lead codes (defined below) for ballots ending in a tie after 2 n votes, and weighted by the product of code elements is shown to be the tangent number T n . The proof also yields a simple expression for the Ursell functions of the linear Ising model, which is used to show (−1) n+1 U 2 n (·) ⩾ 0 in the ferromagnetic case.
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