A232304 Number of nX3 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, vertically or antidiagonally

7, 257, 5149, 107047, 2245709, 46996227, 983668985, 20589521605, 430963205159, 9020580137409, 188811629568963, 3952055258851259, 82721285963402783, 1731456343499743925, 36241470799292200815, 758577720207653990475

Offset

1,1

Comments

Column 3 of A232309

Links

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

Formula

Empirical: a(n) = 17*a(n-1) +66*a(n-2) +338*a(n-3) +35*a(n-4) +706*a(n-5) -4131*a(n-6) +6628*a(n-7) -20192*a(n-8) +4632*a(n-9) -22908*a(n-10) +92304*a(n-11) -22608*a(n-12) -9536*a(n-13) -7616*a(n-14) +4096*a(n-15)

Example

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

Crossrefs

Sequence in context: A119942 A188421 A165437 * A254127 A203968 A174251

Adjacent sequences: A232301 A232302 A232303 * A232305 A232306 A232307

Keyword

nonn

Author

R. H. Hardin, Nov 22 2013

Status

approved