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.

1764322560, 268497815040, 23638153069440, 1582270134681600, 89523597871058400, 4521537191138385600, 210558053896067770200, 9231136974969952417200, 386479930120038746283600, 15609810973119409265234400, 612788961533595085909010880, 23513250306172521375772885440

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