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A237020 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. 2
1, 5, 50, 615, 8450, 124250, 1912900, 30444385, 496856750, 8269863250, 139842071300, 2395663877750, 41489577762500, 725209189182500, 12777189397865800, 226674511923129620, 4045726807789468300, 72595935311731692500, 1308866748433105251000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..300

Yu Hin (Gary) Au, Fatemeh Bagherzadeh, Murray R. Bremner, Enumeration and Asymptotic Formulas for Rectangular Partitions of the Hypercube, arXiv:1903.00813 [math.CO], Mar 03 2019.

FORMULA

G.f. G satisfies: -x = Sum_{i=0..5} (-1)^i*C(5,i)*(G*x)^(2^(5-i)).

CROSSREFS

Column k=5 of A237018.

Sequence in context: A199762 A078244 A233068 * A156058 A232997 A234464

Adjacent sequences:  A237017 A237018 A237019 * A237021 A237022 A237023

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Feb 02 2014

STATUS

approved

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Last modified August 22 07:59 EDT 2019. Contains 326172 sequences. (Running on oeis4.)