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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
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 23 2013
STATUS
approved