A223196 - OEIS

A223196

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

%I #7 Dec 18 2015 18:18:29

%S 1,48,20992,85327872,3249109204992,1163614255186968576,

%T 3928452022261522225954816,125206136723337854976992338771968,

%U 37708401216116613420253652395390480154624

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

%C Diagonal of A223202

%H R. H. Hardin, <a href="/A223196/b223196.txt">Table of n, a(n) for n = 1..13</a>

%e Some solutions for n=3

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

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

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

%e Face neighbors:

%e 0,5 -> 1 2 3 4

%e 1,4 -> 0 2 3 5

%e 2,3 -> 0 1 4 5

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 18 2013