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A268094 Number of 2 X n 0..2 arrays with every repeated value in every row not one larger and in every column one larger mod 3 than the previous repeated value, and upper left element zero. 1
3, 27, 243, 2028, 16428, 129792, 1009200, 7756992, 59140800, 448278528, 3383655168, 25462705152, 191189978112, 1433272320000, 10732091092992, 80291457712128, 600321157939200, 4486422252748800, 33517530883227648 (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) = 14*a(n-1) - 44*a(n-2) - 88*a(n-3) + 352*a(n-4) + 320*a(n-5) - 256*a(n-6).

Empirical g.f.: 3*x*(1 - 5*x - x^2 + 26*x^3 + 16*x^4 - 16*x^5) / ((1 + 2*x)*(1 - 4*x)*(1 - 8*x + 4*x^2)*(1 - 4*x - 8*x^2)). - Colin Barker, Jan 11 2019

EXAMPLE

Some solutions for n=4:

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

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

CROSSREFS

Row 2 of A268092.

Sequence in context: A221769 A065100 A035088 * A013708 A102518 A074117

Adjacent sequences:  A268091 A268092 A268093 * A268095 A268096 A268097

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 26 2016

STATUS

approved

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Last modified October 13 20:38 EDT 2019. Contains 327981 sequences. (Running on oeis4.)