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A207995
Number of nX6 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any horizontal or vertical neighbor (colorings ignoring permutations of colors).
3
16, 243, 3891, 63267, 1034073, 16932816, 277458045, 4547477370, 74538711609, 1221819475953, 20027983390866, 328298744831580, 5381481886580865, 88213445048426316, 1445998260462433698, 23702862077090281716
OFFSET
1,1
COMMENTS
Column 6 of A207997.
LINKS
Index entries for linear recurrences with constant coefficients, signature (30,-291,1278,-2901,3519,-2152,516).
FORMULA
a(n) = 30*a(n-1) -291*a(n-2) +1278*a(n-3) -2901*a(n-4) +3519*a(n-5) -2152*a(n-6) +516*a(n-7).
G.f.: -x*(16-237*x+1257*x^2-3198*x^3+4206*x^4-2736*x^5+688*x^6) / ( -1+30*x-291*x^2+1278*x^3-2901*x^4+3519*x^5-2152*x^6+516*x^7 ). - R. J. Mathar, Nov 23 2015
EXAMPLE
Some solutions for n=4
..0..1..2..0..2..0....0..1..2..0..1..2....0..1..2..0..1..0....0..1..2..0..1..2
..1..0..1..2..0..1....2..0..1..2..0..1....2..0..1..2..0..1....1..0..1..2..0..1
..0..1..0..1..2..0....0..1..2..1..2..0....1..2..0..1..2..0....2..1..2..0..1..2
..1..0..1..2..0..2....1..2..1..2..1..2....2..0..1..0..1..2....0..2..0..1..2..1
CROSSREFS
Sequence in context: A074153 A119933 A274753 * A008788 A360759 A219671
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 22 2012
STATUS
approved