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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A237021 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. 2
 1, 6, 72, 1065, 17604, 311472, 5770692, 110530514, 2171011800, 43490709702, 885138113016, 18250712631216, 380432844142092, 8003697071972760, 169728054535951520, 3624215619984643650, 77857888349211858000, 1681568232191988128040, 36491768084579204728800 (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..6} (-1)^i*C(6,i)*(G*x)^(2^(6-i)). CROSSREFS Column k=6 of A237018. Sequence in context: A370098 A303342 A332705 * A156128 A052678 A052719 Adjacent sequences: A237018 A237019 A237020 * A237022 A237023 A237024 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.

Last modified August 3 08:07 EDT 2024. Contains 374885 sequences. (Running on oeis4.)