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A205348 Number of (n+1)X3 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order 1
110, 1750, 30904, 544616, 9559986, 168343322, 2962323362, 52122083398, 917209854720, 16139793469264, 284005789280926, 4997567530607882, 87940560143331102, 1547461583558930150, 27230185748432646344 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A205352

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) +108*a(n-2) +739*a(n-3) +534*a(n-4) -2929*a(n-5) +8365*a(n-6) +5012*a(n-7) -23096*a(n-8) -13776*a(n-9)

EXAMPLE

Some solutions for n=4

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

..0..0..1....0..0..2....2..3..0....1..2..0....0..0..1....1..0..0....1..1..2

..0..1..2....2..1..0....1..1..2....3..1..1....1..2..3....0..1..2....1..1..2

..1..3..3....2..1..2....1..3..2....0..1..2....0..1..3....2..1..1....2..1..0

..0..3..1....3..1..1....3..2..2....1..1..0....2..1..1....3..2..3....0..0..0

CROSSREFS

Sequence in context: A232339 A358256 A200877 * A008450 A163729 A251020

Adjacent sequences: A205345 A205346 A205347 * A205349 A205350 A205351

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 26 2012

STATUS

approved

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Last modified January 30 22:45 EST 2023. Contains 359947 sequences. (Running on oeis4.)