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A207277 Number of n X 2 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal. 3
16, 256, 3364, 45796, 620944, 8421604, 114190596, 1548422500, 20996589604, 284714019396, 3860721976384, 52351389401476, 709884831344896, 9626038324365376, 130529079640391056, 1769974318948977124 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A207283.

LINKS

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

FORMULA

Empirical: a(n) = 11*a(n-1) +28*a(n-2) +48*a(n-3) +536*a(n-4) +664*a(n-5) -205*a(n-6) -656*a(n-7) -535*a(n-8) +4*a(n-9) +212*a(n-10) +175*a(n-11) -36*a(n-12) +5*a(n-13) -8*a(n-14) +a(n-15).

a(n) = A207276(n)^2.  - Mark van Hoeij, May 14 2013

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A207276, A207283.

Sequence in context: A223660 A223565 A223677 * A294329 A267929 A122609

Adjacent sequences:  A207274 A207275 A207276 * A207278 A207279 A207280

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 16 2012

STATUS

approved

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Last modified September 16 18:26 EDT 2021. Contains 347473 sequences. (Running on oeis4.)