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A239532 Number of (n+1) X (3+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order. 1
6, 6, 216, 1014, 13254, 98304, 984150, 8368566, 77673624, 687582150, 6243858486, 55924463616, 504631320486, 4535315519334, 40848737643864, 367488643786134, 3308125850845350, 29769598506080256, 267943541451802614 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) + 26*a(n-2) - 166*a(n-3) + 96*a(n-4) + 198*a(n-5) - 81*a(n-6).

Empirical g.f.: 6*(1 - 7*x + 2*x^2 + 21*x^3 - 9*x^4) / ((1 + x)*(1 - 9*x)*(1 - 3*x + x^2)*(1 + 3*x - 9*x^2)). - Colin Barker, Oct 26 2018

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

CROSSREFS

Column 3 of A239537.

Sequence in context: A328186 A123190 A244956 * A165641 A213149 A267727

Adjacent sequences:  A239529 A239530 A239531 * A239533 A239534 A239535

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 21 2014

STATUS

approved

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Last modified July 28 06:59 EDT 2021. Contains 346317 sequences. (Running on oeis4.)