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A267662
Number of nX3 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.
1
3, 18, 108, 453, 1800, 6654, 23967, 84552, 295176, 1023321, 3533484, 12170886, 41859891, 143844024, 494032074, 1696231551, 5822855280, 19986766938, 68599945065, 235446171408, 808076493654, 2773384864119, 9518456958738
OFFSET
1,1
COMMENTS
Column 3 of A267667.
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) -13*a(n-2) -44*a(n-3) +135*a(n-4) +39*a(n-5) -375*a(n-6) +84*a(n-7) +461*a(n-8) -139*a(n-9) -294*a(n-10) +69*a(n-11) +98*a(n-12) -14*a(n-13) -16*a(n-14) +a(n-15) +a(n-16)
EXAMPLE
Some solutions for n=8
..0..0..1....0..1..0....0..1..1....0..0..1....0..0..1....0..0..1....0..1..1
..1..0..0....1..0..1....1..0..1....1..1..0....0..1..0....0..1..0....0..0..1
..0..1..0....1..1..0....0..1..0....0..1..0....1..1..0....0..0..1....0..1..0
..1..0..1....1..0..0....1..0..1....1..0..0....0..0..1....1..1..0....1..0..1
..1..0..0....1..1..0....1..0..0....0..1..0....0..1..0....0..1..0....0..1..0
..1..1..0....1..0..1....1..0..1....0..1..0....1..0..0....0..0..1....1..0..1
..1..0..0....1..1..0....0..1..1....0..1..0....0..1..0....0..1..0....0..1..0
..1..0..1....1..0..1....1..0..0....0..1..1....1..0..1....0..1..1....1..0..1
CROSSREFS
Cf. A267667.
Sequence in context: A025595 A151331 A137962 * A169604 A081341 A355353
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 19 2016
STATUS
approved