A232384 Number of (n+1)X(1+1) 0..3 arrays with every element next to itself plus and minus one within the range 0..3 horizontally, vertically or antidiagonally, with no adjacent elements equal

12, 18, 78, 190, 670, 1954, 6224, 19178, 60114, 187412, 586490, 1834516, 5744318, 17990734, 56368598, 176652636, 553724396, 1735923596, 5442763224, 17066621772, 53518824910, 167837668944, 526369709548, 1650846771550, 5177663823280

Offset

1,1

Comments

Column 1 of A232391

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +5*a(n-2) -9*a(n-3) -14*a(n-4) -12*a(n-5) -3*a(n-6) +23*a(n-7) +43*a(n-8) +51*a(n-9) +27*a(n-10) +a(n-11) -12*a(n-12) -6*a(n-13) -a(n-14) +a(n-15)

Example

Some solutions for n=7
..1..0....1..2....0..3....1..0....1..2....3..0....3..0....1..2....3..2....2..1
..2..1....0..3....1..2....2..3....0..3....2..1....2..1....0..3....1..0....3..0
..3..2....2..0....0..1....1..0....1..0....3..0....0..2....1..2....2..1....2..1
..1..0....1..3....3..0....3..1....2..3....2..1....3..1....3..1....3..2....0..2
..2..1....0..2....2..3....2..3....0..1....3..2....2..0....0..3....0..3....3..1
..3..0....1..0....1..2....1..0....2..3....0..1....1..3....2..1....1..2....2..0
..1..2....3..2....0..1....3..2....0..1....3..2....0..2....0..2....0..1....3..2
..0..3....0..1....3..2....0..1....3..2....0..1....1..0....1..3....2..3....0..1

Crossrefs

Sequence in context: A370395 A226176 A177426 * A086301 A231094 A258427

Adjacent sequences: A232381 A232382 A232383 * A232385 A232386 A232387

Keyword

nonn

Author

R. H. Hardin, Nov 23 2013

Status

approved