A233087 Number of 6Xn 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order

528, 88574, 18378455, 3813415862, 793945203881, 165407945648306, 34467813715307081, 7182856170260722382, 1496883957083674317113, 311947255924268504837126, 65009188480607928117152141

Offset

1,1

Comments

Row 6 of A233082

Links

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

Formula

Empirical: a(n) = 364*a(n-1) -42453*a(n-2) +2436880*a(n-3) -79344169*a(n-4) +1516939086*a(n-5) -15628675074*a(n-6) +36294613392*a(n-7) +1123346476671*a(n-8) -14527002142968*a(n-9) +69635812750065*a(n-10) +6662468719530*a(n-11) -1637269772485123*a(n-12) +7134485019071854*a(n-13) -7393831633937490*a(n-14) -32355982109640858*a(n-15) +109448357570150022*a(n-16) -81722247403429008*a(n-17) -136631578511246112*a(n-18) +284995956546214704*a(n-19) -170571098629086336*a(n-20) +28670292192657024*a(n-21) for n>26

Example

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

Crossrefs

Sequence in context: A059465 A071236 A048101 * A008690 A282292 A225834

Adjacent sequences: A233084 A233085 A233086 * A233088 A233089 A233090

Keyword

nonn

Author

R. H. Hardin, Dec 03 2013

Status

approved