A208048 Number of nX6 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors)

41, 512, 7540, 118096, 1897888, 30818432, 502504448, 8206614784, 134107752704, 2192020679040, 35832132655104, 585752326535168, 9575474013944320, 156533905282970624, 2558923378953086464, 41831786939400151040

Offset

1,1

Comments

Column 6 of A208050

Links

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

Formula

Empirical: a(n) = 40*a(n-1) -672*a(n-2) +7048*a(n-3) -53920*a(n-4) +315080*a(n-5) -1388592*a(n-6) +4290880*a(n-7) -7204704*a(n-8) -5415680*a(n-9) +63216624*a(n-10) -131003904*a(n-11) -9639424*a(n-12) +571912192*a(n-13) -1570279424*a(n-14) +4233822208*a(n-15) -11382816768*a(n-16) +22231908352*a(n-17) -31692161024*a(n-18) +37178310656*a(n-19) -34628173824*a(n-20) +17179869184*a(n-21) for n>22

Example

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

Crossrefs

Sequence in context: A086949 A177504 A297976 * A298839 A301399 A241622

Adjacent sequences: A208045 A208046 A208047 * A208049 A208050 A208051

Keyword

nonn

Author

R. H. Hardin Feb 22 2012

Status

approved