A232572 Number of (n+1)X(1+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, vertically or antidiagonally

16, 72, 516, 3048, 18944, 115892, 713488, 4389504, 26985196, 165981072, 1020610296, 6276755004, 38599285272, 237374373944, 1459772807380, 8977123838008, 55206398795888, 339501216593668, 2087821797237664

Offset

1,1

Comments

Column 1 of A232579

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +19*a(n-2) +26*a(n-3) +52*a(n-4) +218*a(n-5) +11*a(n-6) -258*a(n-7) +15*a(n-8) +108*a(n-9) -64*a(n-10) +16*a(n-11)

Example

Some solutions for n=6
..2..0....1..0....2..1....0..0....0..1....2..0....2..0....1..0....2..1....0..1
..1..0....2..1....0..0....1..2....1..2....1..1....1..0....2..1....0..0....2..2
..0..0....0..0....0..2....1..2....0..0....2..0....0..2....2..0....2..1....0..1
..1..2....1..2....1..2....0..1....1..0....0..1....1..2....2..0....2..2....1..2
..2..0....1..2....2..0....1..0....2..2....2..1....2..1....1..2....2..0....1..2
..1..0....0..1....1..2....2..2....1..2....0..1....0..1....0..1....1..2....0..1
..1..2....1..2....0..1....1..0....0..1....1..2....2..0....0..0....1..0....2..2

Crossrefs

Sequence in context: A029872 A056633 A248464 * A363794 A098096 A329076

Adjacent sequences: A232569 A232570 A232571 * A232573 A232574 A232575

Keyword

nonn

Author

R. H. Hardin, Nov 26 2013

Status

approved