A223361 Rolling cube footprints: number of 6Xn 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

7776, 4194304, 4076863488, 3962711310336, 4060947412942848, 4204783428144463872, 4387933871654786039808, 4591848540270748206366720, 4812465805493379433041494016, 5046647918221316806981151883264

Offset

1,1

Comments

Row 6 of A223357

Links

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

Formula

Empirical: a(n) = 1920*a(n-1) -1159168*a(n-2) +272105472*a(n-3) -9613344768*a(n-4) -7199438929920*a(n-5) +1446957302153216*a(n-6) -121544413380870144*a(n-7) +4845873199050653696*a(n-8) -74363437047141629952*a(n-9) for n>15

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

Crossrefs

Sequence in context: A017345 A017465 A017597 * A222339 A043520 A276144

Adjacent sequences: A223358 A223359 A223360 * A223362 A223363 A223364

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved