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A206188 T(n,k) = number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and the same number of counterclockwise edge increases as its vertical neighbors. 8
256, 1976, 1976, 15616, 19688, 15616, 124048, 205804, 205804, 124048, 986388, 2410188, 3802676, 2410188, 986388, 7854572, 30417316, 95187756, 95187756, 30417316, 7854572, 62623348, 406202048, 2674444796, 5674969344, 2674444796 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......256........1976..........15616.............124048................986388

......1976.......19688.........205804............2410188..............30417316

.....15616......205804........3802676...........95187756............2674444796

....124048.....2410188.......95187756.........5674969344..........364197868292

....986388....30417316.....2674444796.......364197868292........51975660472496

...7854572...406202048....78597249508.....23825180259760......7481908870312588

..62623348..5614757320..2345626036136...1565902419680820...1078848431799509828

.499915248.79279051900.70435464744476.103072965502712948.155633082985105845972

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

EXAMPLE

Some solutions for n=4, k=3:

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

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

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

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

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

CROSSREFS

Column 1 is A205363.

Sequence in context: A238058 A235972 A235965 * A205370 A205659 A205363

Adjacent sequences: A206185 A206186 A206187 * A206189 A206190 A206191

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 04 2012

STATUS

approved

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Last modified December 9 02:22 EST 2022. Contains 358698 sequences. (Running on oeis4.)