A223275 - OEIS

A223275

Rolling cube footprints: number of 7 X n 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across a corresponding cube edge.

%I #6 Dec 26 2023 18:00:05

%S 46656,11943936,37222350848,67231270567936,161366284997492736,

%T 337035427916688654336,761838097494483172065280,

%U 1650599013129561282927656960,3665535809967337080051300564992

%N Rolling cube footprints: number of 7 X n 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across a corresponding cube edge.

%C Row 7 of A223269.

%H R. H. Hardin, <a href="/A223275/b223275.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0

%e ..0..3..0....0..3..0....0..3..1....0..3..0....0..3..0....0..3..0....0..3..1

%e ..5..4..0....5..3..1....4..3..4....5..4..0....0..1..0....5..2..0....5..3..5

%e ..0..4..5....1..3..0....0..2..4....3..1..5....5..2..0....5..3..0....5..3..1

%e ..5..4..2....5..3..0....4..2..5....5..4..0....5..1..5....0..1..0....4..3..4

%e Face neighbors:

%e 0.->.1.2.3.4

%e 1.->.0.2.3.5

%e 2.->.0.1.4.5

%e 3.->.0.1.4.5

%e 4.->.0.3.2.5

%e 5.->.1.3.4.2

%Y Cf. A223269.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 19 2013