A230332 Number of nX3 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero

0, 34, 534, 9162, 157200, 2696012, 46237080, 792976550, 13599731534, 233238537338, 4000094828472, 68602550986932, 1176549607672624, 20178097744610950, 346059040719985438, 5934992543883035738

Offset

1,2

Comments

Column 3 of A230337

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +37*a(n-2) +6*a(n-3) -137*a(n-4) -75*a(n-5) +577*a(n-6) +1558*a(n-7) +1020*a(n-8) -8*a(n-9) for n>10

Example

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

Crossrefs

Sequence in context: A228682 A020929 A160279 * A232320 A133720 A010950

Adjacent sequences: A230329 A230330 A230331 * A230333 A230334 A230335

Keyword

nonn

Author

R. H. Hardin, Oct 16 2013

Status

approved