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A233628
Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock having the sum of the absolute values of the edge differences equal to 6.
1
100, 716, 4974, 34996, 245244, 1721166, 12073496, 84707304, 594267894, 4169203752, 29249652400, 205205717782, 1439652919284, 10100114325196, 70858952369086, 497122227864276, 3487639848551036, 24468090728338830
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) + 19*a(n-2) - 27*a(n-3) - 55*a(n-4) + 37*a(n-5).
Empirical g.f.: 2*x*(50 + 108*x - 253*x^2 - 389*x^3 + 295*x^4) / (1 - 5*x - 19*x^2 + 27*x^3 + 55*x^4 - 37*x^5). - Colin Barker, Oct 11 2018
EXAMPLE
Some solutions for n=4:
..1..1....3..2....1..0....1..2....1..3....0..1....3..3....3..3....1..1....0..1
..0..3....2..0....3..0....0..3....1..0....3..3....2..0....0..0....0..3....1..3
..1..3....3..3....3..3....0..3....3..0....0..1....3..2....0..3....1..3....3..2
..3..2....0..0....0..2....2..3....3..0....3..1....1..0....0..1....0..2....1..0
..0..2....0..3....2..3....0..1....3..2....1..2....3..1....0..3....0..3....2..3
CROSSREFS
Column 1 of A233635.
Sequence in context: A235850 A264539 A233635 * A030024 A232657 A287027
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 14 2013
STATUS
approved