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

10,1

Links

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

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);

Crossrefs

Column k=10 of A255982.

Sequence in context: A273931 A273933 A196753 * A015431 A273934 A017410

Adjacent sequences: A258421 A258422 A258423 * A258425 A258426 A258427

Keyword

nonn

Author

Alois P. Heinz, May 29 2015

Status

approved