  S. Ekhad and D. Zeilberger recently proved that the multivariate generating
function for the number of simple singular vector tuples of a generic $m_1
\times \cdots \times m_d$ tensor has an elegant rational form involving
elementary symmetric functions, and provided a partial conjecture for the
asymptotic behavior of the cubical case $m_1 = \cdots = m_d$. We prove this
conjecture and further identify completely the dominant asymptotic term,
including the multiplicative constant. Finally, we use the method of
differential approximants to conjecture that the subdominant connective
constant effect observed by Ekhad and Zeilberger for a particular case in fact
occurs more generally.
