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A203176
Number of n X 3 0..2 arrays with every 1 immediately preceded by 0 to the left or above, no 0 immediately preceded by a 0, and every 2 immediately preceded by 0 1 to the left or above.
1
2, 2, 7, 17, 41, 97, 235, 607, 1415, 3486, 8648, 20838, 51170, 124939, 305270, 746199, 1820662, 4454559, 10877169, 26569604, 64944236, 158629072, 387600053, 946993492, 2313654220, 5653010591, 13810992779, 33744134975, 82444452049
OFFSET
1,1
COMMENTS
Column 3 of A203181.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-2) +10*a(n-3) +5*a(n-4) -a(n-5) -31*a(n-6) -7*a(n-7) +30*a(n-9) for n>10.
Empirical G.f.:
2*x -x^2*(2+7*x+13*x^2+7*x^3-17*x^4-50*x^5-13*x^6+18*x^7+54*x^8) / ( -1+2*x^2+10*x^3+5*x^4-x^5-31*x^6-7*x^7+30*x^9 ). - R. J. Mathar, Jul 02 2013
EXAMPLE
Some solutions for n=5:
..0..1..2....0..1..2....0..1..0....0..1..2....0..1..2....0..1..2....0..1..0
..1..0..1....1..0..1....1..0..1....1..0..1....1..0..1....1..0..1....1..0..1
..2..1..0....0..1..2....0..1..0....2..1..0....0..1..0....0..1..2....2..1..2
..0..1..1....1..0..1....1..0..1....0..2..1....1..2..1....1..0..1....0..1..0
..1..0..2....0..1..0....0..1..0....1..0..2....2..0..1....0..1..2....1..0..1
CROSSREFS
Sequence in context: A192921 A051769 A256400 * A203579 A338415 A243022
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 30 2011
STATUS
approved