A223360 Rolling cube footprints: number of 5Xn 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

1296, 262144, 84934656, 27518828544, 9273505480704, 3147420753985536, 1073434373061083136, 366633735578651197440, 125301697729353543057408, 42831316037653820665233408, 14641648774856138730026041344

Offset

1,1

Comments

Row 5 of A223357

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 512*a(n-1) -65536*a(n-2) +2490368*a(n-3) +17825792*a(n-4) -2818572288*a(n-5) +51539607552*a(n-6) -274877906944*a(n-7) for n>11

Example

Some solutions for n=3
..0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0
..0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0
..1..2..5....4..2..1....5..1..2....1..2..0....0..1..3....4..2..0....5..4..2
..1..2..1....0..2..1....2..0..4....5..4..3....0..1..2....1..2..5....5..4..2
..4..2..5....0..2..1....4..2..1....3..5..4....5..1..3....0..3..1....0..4..2

Crossrefs

Sequence in context: A017464 A017596 A249586 * A204083 A067492 A222338

Adjacent sequences: A223357 A223358 A223359 * A223361 A223362 A223363

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved