A233178 Number of 5Xn 0..5 arrays with no element x(i,j) adjacent to itself or value 5-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order (unlabelled 6-colorings with no clashing color pairs)

236, 10496, 3497984, 808583168, 221463445504, 56275748519936, 14822434649669632, 3838772637371203584, 1002338782428226650112, 260695613898360688214016, 67932875090988311936761856

Offset

1,1

Comments

Row 5 of A233174

Links

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

Formula

Empirical: a(n) = 192*a(n-1) +31744*a(n-2) -3178496*a(n-3) -170917888*a(n-4) +13992198144*a(n-5) +99857989632*a(n-6) -17660905521152*a(n-7) +211106232532992*a(n-8) +2533274790395904*a(n-9) -40532396646334464*a(n-10) for n>11

Example

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

Crossrefs

Sequence in context: A285156 A242148 A231953 * A220760 A218179 A005391

Adjacent sequences: A233175 A233176 A233177 * A233179 A233180 A233181

Keyword

nonn

Author

R. H. Hardin, Dec 05 2013

Status

approved