A223359 - OEIS

%I #6 Dec 28 2023 22:13:55

%S 216,16384,1769472,191102976,21177040896,2356125106176,

%T 262687716016128,29299957655666688,3268377203523452928,

%U 364590293218429501440,40670509521269453488128,4536850283257824395919360

%N Rolling cube footprints: number of 4 X n 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal or antidiagonal neighbor moves across a corresponding cube edge.

%C Row 4 of A223357.

%H R. H. Hardin, <a href="/A223359/b223359.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 144*a(n-1) -3840*a(n-2) +24576*a(n-3) for n>7.

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

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

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

%Y Cf. A223357.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 19 2013