A258424 Number of partitions of the 10-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.

60949324800, 11504185056000, 1238502000960000, 100203614366688000, 6786584967157027200, 406962991813415247000, 22343812436173975084800, 1147985274106305649476000, 56030531363859577353444000, 2626132408521540739815456000, 119149819949135773678717267200

Offset: 10

Author

Alois P. Heinz, May 29 2015

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 10..600

Crossrefs

Column k=10 of A255982.

Programs

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, 10):
seq(a(n), n=10..25);