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A205514 Number of (n+1)X3 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock differing from each horizontal or vertical neighbor 1
360, 2412, 17166, 122232, 864948, 6127554, 43434216, 307791390, 2181099672, 15456520254, 109532942598, 776204639616, 5500580033478, 38979904487142, 276231336095166, 1957515179621772, 13871944501198614, 98303626985179020 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A205520

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +12*a(n-2) +59*a(n-3) +73*a(n-4) +36*a(n-5) -15*a(n-6) -32*a(n-7) -24*a(n-8) -8*a(n-9) +2*a(n-10)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A236059 A206670 A236991 * A056390 A056380 A234555

Adjacent sequences: A205511 A205512 A205513 * A205515 A205516 A205517

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 28 2012

STATUS

approved

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Last modified January 26 22:13 EST 2023. Contains 359836 sequences. (Running on oeis4.)