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A237021
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Number of partitions of the 6-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes.
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2
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1, 6, 72, 1065, 17604, 311472, 5770692, 110530514, 2171011800, 43490709702, 885138113016, 18250712631216, 380432844142092, 8003697071972760, 169728054535951520, 3624215619984643650, 77857888349211858000, 1681568232191988128040, 36491768084579204728800
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f. G satisfies: x = Sum_{i=0..6} (-1)^i*C(6,i)*(G*x)^(2^(6-i)).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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