login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A237023 Number of partitions of the 8-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes. 2
1, 8, 128, 2532, 56000, 1326080, 32885824, 843189944, 22171138432, 594590989696, 16200867745408, 447218004699648, 12480580062841856, 351535051446944768, 9980583165975732736, 285327120847367853498, 8206545372905533247648, 237302661850471880634624 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
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..8} (-1)^i*C(8,i)*(G*x)^(2^(8-i)).
CROSSREFS
Column k=8 of A237018.
Sequence in context: A013777 A183497 A370102 * A156270 A051189 A371299
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Feb 02 2014
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 24 14:46 EDT 2024. Contains 374584 sequences. (Running on oeis4.)