A365366 Number of free 4-dimensional polyhypercubes with n cells, allowing corner-, edge-, face-, and 3-face-connections.

1, 4, 30, 835, 43828

Offset

1,2

Links

Table of n, a(n) for n=1..5.

Index entries for sequences related to polyominoes.

Crossrefs

Connections |

(0 = corner, 1 = edge, | Polyhypercubes in dimension

2 = face, 3 = 3-face) | 2 3 4

-----------------------+----------------------------

0 | A000105* A038171 A365353

1 | A000105 A038173 A365354

01 | A030222 A363206 A365355

2 | A038119 A365356

0 2 | A363205 A365357

12 | A268666 A365358

012 | A272368 A365359

3 | A068870

0 3 | A365360

1 3 | A365361

01 3 | A365362

23 | A365363

0 23 | A365364

123 | A365365

0123 | A365366

*There is a one-to-one correspondence between corner-connected and edge-connected 2-dimensional polyominoes, but see A364928.

154th row of A366766.

Sequence in context: A162128 A337969 A234566 * A201974 A376765 A221250

Adjacent sequences: A365363 A365364 A365365 * A365367 A365368 A365369

Keyword

nonn,hard,more

Author

Pontus von Brömssen, Sep 05 2023

Status

approved