%I #6 Mar 11 2019 06:42:44
%S 1,5,50,615,8450,124250,1912900,30444385,496856750,8269863250,
%T 139842071300,2395663877750,41489577762500,725209189182500,
%U 12777189397865800,226674511923129620,4045726807789468300,72595935311731692500,1308866748433105251000
%N Number of partitions of the 5-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="/A237020/b237020.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..5} (-1)^i*C(5,i)*(G*x)^(2^(5-i)).
%Y Column k=5 of A237018.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Feb 02 2014
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