login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A258423 Number of partitions of the 9-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes, such that each axis is used at least once. 2
1764322560, 268497815040, 23638153069440, 1582270134681600, 89523597871058400, 4521537191138385600, 210558053896067770200, 9231136974969952417200, 386479930120038746283600, 15609810973119409265234400, 612788961533595085909010880, 23513250306172521375772885440 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 9..650

MAPLE

b:= proc(n, k, t) option remember; `if`(t=0, 1, `if`(t=1,

       A(n-1, k), add(A(j, k)*b(n-j-1, k, t-1), j=0..n-2)))

    end:

A:= proc(n, k) option remember; `if`(n=0, 1,

      -add(binomial(k, j)*(-1)^j*b(n+1, k, 2^j), j=1..k))

    end:

T:= proc(n, k) option remember;

      add(A(n, k-i)*(-1)^i*binomial(k, i), i=0..k)

    end:

a:= n-> T(n, 9):

seq(a(n), n=9..25);

CROSSREFS

Column k=9 of A255982.

Sequence in context: A015411 A034649 A211240 * A174762 A147769 A198177

Adjacent sequences:  A258420 A258421 A258422 * A258424 A258425 A258426

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2015

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 15 02:27 EDT 2021. Contains 342974 sequences. (Running on oeis4.)