A198718 Number of nX3 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor

2, 34, 2027, 232841, 34003792, 5315840795, 846047363854, 135284283124811, 21658679381667910, 3468618095206638077, 555543217744635684040, 88979288917879960297469, 14251565534424509235823960

Offset

1,1

Comments

Column 3 of A198723

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 234*a(n-1) -13497*a(n-2) +283640*a(n-3) -2626919*a(n-4) +12277210*a(n-5) -30282843*a(n-6) +38629620*a(n-7) -23115780*a(n-8) +4848336*a(n-9)

Example

Some solutions with all values 0 to 6 for n=4
..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..0....0..1..2
..3..0..4....3..0..3....3..4..3....3..2..0....3..4..5....2..3..4....3..4..5
..5..3..5....4..5..2....4..5..6....4..5..3....5..6..4....1..0..5....4..6..4
..2..6..2....2..0..6....5..1..5....1..6..0....0..5..1....6..2..4....3..4..6

Crossrefs

Sequence in context: A291903 A340863 A198977 * A198909 A207865 A216082

Adjacent sequences: A198715 A198716 A198717 * A198719 A198720 A198721

Keyword

nonn

Author

R. H. Hardin Oct 29 2011

Status

approved