A214163 Number of 0..5 colorings of an nX6 array circular in the 6 direction with new values 0..5 introduced in row major order

41, 121778, 655418810, 3598372134742, 19767477649307133, 108593596081040129576, 596564503952723786971771, 3277257831775251397259797443, 18003784721017105359528889265663

Offset

1,1

Comments

Column 5 of A214166

Links

R. H. Hardin, Table of n, a(n) for n = 1..68

Formula

Empirical: a(n) = 6132*a(n-1) -3622685*a(n-2) +639575585*a(n-3) -32725270678*a(n-4) -553035058681*a(n-5) +76503305094012*a(n-6) -1866677899327574*a(n-7) +18043405701458099*a(n-8) -65572684928670422*a(n-9) +19819882367968339*a(n-10) +446791452135464749*a(n-11) -1165335596737363580*a(n-12) +1235162915085727931*a(n-13) -587321247683006226*a(n-14) +100202633777025000*a(n-15)

Example

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

Crossrefs

Sequence in context: A222923 A262787 A176132 * A185539 A214184 A078813

Adjacent sequences: A214160 A214161 A214162 * A214164 A214165 A214166

Keyword

nonn

Author

R. H. Hardin Jul 05 2012

Status

approved