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A185925 Number of (n+1) X 2 0..3 arrays with no 2 X 2 subblock trace equal to any horizontal or vertical neighbor 2 X 2 subblock trace. 1
256, 3392, 45184, 601280, 8003200, 106519232, 1417744768, 18869769920, 251151368320, 3342753765056, 44491111274368, 592164151358144, 7881537994012288, 104901049688771264, 1396203410850909568 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A185933.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) + 81*a(n-2) + 206*a(n-3) + 144*a(n-4).
Empirical g.f.: 64*x*(4 + 29*x + 64*x^2 + 42*x^3) / (1 - 6*x - 81*x^2 - 206*x^3 - 144*x^4). - Colin Barker, Apr 17 2018
EXAMPLE
Some solutions for 3 X 2:
..3..0....1..2....0..3....0..0....1..1....0..3....2..2....0..0....0..1....0..3
..3..2....3..2....3..2....3..2....2..0....1..1....3..0....2..3....3..1....3..0
..0..0....3..3....1..1....2..0....1..3....2..3....0..0....2..0....3..0....0..3
CROSSREFS
Cf. A185933.
Sequence in context: A185575 A185933 A185572 * A205281 A185923 A185919
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 06 2011
STATUS
approved

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Last modified February 26 03:53 EST 2024. Contains 370335 sequences. (Running on oeis4.)