|
|
A223355
|
|
Rolling cube footprints: number of n X 6 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.
|
|
1
|
|
|
1024, 1327104, 1764753408, 2356125106176, 3147420753985536, 4204783428144463872, 5617417467128419713024, 7504647859211051911348224, 10025914758161450104466178048, 13394228581283493899583803621376
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 1600*a(n-1) - 368640*a(n-2) + 21233664*a(n-3).
Empirical g.f.: 1024*x*(1 - 304*x + 18432*x^2) / (1 - 1600*x + 368640*x^2 - 21233664*x^3). - Colin Barker, Aug 19 2018
|
|
EXAMPLE
|
Some solutions for n=3:
0 3 0 3 4 2 0 3 0 2 0 3 0 3 0 2 5 1 0 3 0 1 0 1
0 3 0 3 0 4 0 3 0 3 0 3 0 3 0 4 2 1 0 3 0 2 5 4
0 3 0 1 2 4 0 3 0 3 5 3 0 3 0 1 3 4 0 3 0 4 5 3
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|