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%I #9 Mar 11 2019 06:43:43
%S 1,9,162,3609,89910,2398410,67006116,1935501645,57335681142,
%T 1732321234710,53177078182860,1653802745967450,51997089469768380,
%U 1650038052325122324,52779255878344803336,1699938398827907195607,55085070458854388052090,1794568569427662345343962
%N Number of partitions of the 9-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes.
%H Alois P. Heinz, <a href="/A237024/b237024.txt">Table of n, a(n) for n = 0..300</a>
%H Yu Hin (Gary) Au, Fatemeh Bagherzadeh, Murray R. Bremner, <a href="https://arxiv.org/abs/1903.00813">Enumeration and Asymptotic Formulas for Rectangular Partitions of the Hypercube</a>, arXiv:1903.00813 [math.CO], Mar 03 2019.
%F G.f. G satisfies: -x = Sum_{i=0..9} (-1)^i*C(9,i)*(G*x)^(2^(9-i)).
%Y Column k=9 of A237018.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Feb 02 2014
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