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A267906 Number of n X 2 0..2 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. 3
2, 14, 122, 938, 6734, 45938, 302402, 1939154, 12192302, 75508538, 462161714, 2802600938, 16870221902, 100950439394, 601202522882, 3566576610338, 21091803794894, 124410954720938, 732300042558002, 4302980995610234 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A267911.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 14*a(n-1) - 60*a(n-2) + 50*a(n-3) + 145*a(n-4) - 80*a(n-5) - 84*a(n-6) + 16*a(n-7).

Empirical g.f.: 2*x*(1 - 7*x + 23*x^2 - 15*x^3 - 34*x^4 - 14*x^5 + 4*x^6) / ((1 - x)*(1 + x)*(1 - 4*x)*(1 - 6*x + x^2)*(1 - 4*x - 4*x^2)). - Colin Barker, Feb 25 2018

EXAMPLE

Some solutions for n=6:

..0..1....0..1....0..1....0..1....0..0....0..1....0..1....0..0....0..1....0..1

..0..2....2..2....1..1....0..0....1..1....1..0....2..0....1..2....2..2....2..2

..1..0....1..0....1..1....2..2....0..0....2..0....2..1....2..0....2..0....0..1

..2..1....0..0....0..2....1..1....1..1....2..0....2..2....1..0....1..2....1..2

..0..1....2..0....2..1....2..0....2..0....1..2....0..0....0..2....2..2....1..1

..0..1....0..2....1..1....1..2....0..1....2..1....2..2....1..0....2..1....0..1

CROSSREFS

Cf. A267911.

Sequence in context: A208393 A192457 A155728 * A199560 A283184 A319536

Adjacent sequences:  A267903 A267904 A267905 * A267907 A267908 A267909

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 22 2016

STATUS

approved

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Last modified October 20 07:41 EDT 2020. Contains 337897 sequences. (Running on oeis4.)