A232834 Number of (n+1) X (2+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally.

16, 312, 3720, 44832, 500516, 5809256, 71242892, 828231244, 9665239984, 115029333056, 1352576937428, 15898702233248, 187695013262932, 2210572795268860, 26033518575905152, 306852154447303024

Offset

1,1

Comments

Column 2 of A232839.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +18*a(n-2) +772*a(n-3) +844*a(n-4) +9204*a(n-5) -55335*a(n-6) -127538*a(n-7) -311040*a(n-8) +198402*a(n-9) +173348*a(n-10) -196912*a(n-11) +1920*a(n-12) +15360*a(n-13).

Example

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

Crossrefs

Cf. A232839.

Sequence in context: A252863 A360431 A039746 * A232841 A320064 A172211

Adjacent sequences: A232831 A232832 A232833 * A232835 A232836 A232837

Keyword

nonn

Author

R. H. Hardin, Nov 30 2013

Status

approved