A233142 Number of nX3 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order

6, 225, 13259, 845917, 54777233, 3556749764, 231058112982, 15011638934832, 975308641633714, 63366149608139911, 4116923504141804447, 267478155043610402011, 17378162265573039881347, 1129066127467454727403426

Offset

1,1

Comments

Column 3 of A233147

Links

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

Formula

Empirical: a(n) = 84*a(n-1) -1342*a(n-2) +7132*a(n-3) -17820*a(n-4) +24364*a(n-5) -19790*a(n-6) +9748*a(n-7) -2659*a(n-8) +272*a(n-9) +12*a(n-10) for n>11

Example

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

Crossrefs

Sequence in context: A117255 A130644 A223100 * A166502 A173083 A366252

Adjacent sequences: A233139 A233140 A233141 * A233143 A233144 A233145

Keyword

nonn

Author

R. H. Hardin, Dec 04 2013

Status

approved