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A239150
Number of (n+1) X (1+1) 0..3 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..3 introduced in row major order.
1
1, 1, 7, 17, 96, 340, 1639, 6623, 29843, 126163, 554310, 2380524, 10363965, 44756085, 194216303, 840357677, 3642433780, 15771490916, 68331367227, 295943443667, 1282011757819, 5552887116543, 24053558944522, 104188496250108
OFFSET
1,3
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) + 7*a(n-2) - 26*a(n-3) + 5*a(n-4) + 14*a(n-5).
Empirical g.f.: x*(1 - 3*x - 4*x^2 + 8*x^3) / ((1 - x - x^2)*(1 - 3*x - 9*x^2 + 14*x^3)).
EXAMPLE
Some solutions for n=5:
..0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
..0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
..0..2....1..2....2..0....2..1....2..1....1..0....2..0....2..1....2..0....2..0
..0..2....1..2....2..0....2..0....2..1....1..0....2..0....2..1....2..0....2..0
..2..0....1..3....3..0....2..0....1..3....1..0....1..0....3..1....0..1....3..2
..2..0....1..3....3..0....2..0....1..3....1..0....1..0....3..1....0..1....3..2
CROSSREFS
Column 1 of A239155.
Sequence in context: A359015 A177123 A124165 * A092057 A082738 A092340
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 11 2014
STATUS
approved