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A258421 Number of partitions of the 7-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
2162160, 196756560, 10778727960, 463305056760, 17266750912320, 586609859314080, 18699578507549520, 569565504689176800, 16777853060738524020, 482011338862966969980, 13586929812483090607600, 377442353035435719228120, 10367784656620152180344310 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 7..700

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, 7):

seq(a(n), n=7..25);

CROSSREFS

Column k=7 of A255982.

Sequence in context: A253966 A253762 A154874 * A166930 A183754 A049359

Adjacent sequences:  A258418 A258419 A258420 * A258422 A258423 A258424

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2015

STATUS

approved

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Last modified August 4 13:24 EDT 2020. Contains 336201 sequences. (Running on oeis4.)