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A205944 T(n,k) = number of (n+1) X (k+1) 0..3 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors. 9
256, 1776, 1776, 12712, 11028, 12712, 91440, 81864, 81864, 91440, 656272, 620988, 754704, 620988, 656272, 4711264, 4601832, 6705048, 6705048, 4601832, 4711264, 33827496, 34647764, 59081744, 70027468, 59081744, 34647764, 33827496 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......256.......1776.......12712........91440.........656272.........4711264

......1776......11028.......81864.......620988........4601832........34647764

.....12712......81864......754704......6705048.......59081744.......519841120

.....91440.....620988.....6705048.....70027468......692354440......6909160028

....656272....4601832....59081744....692354440.....8605131924....103395482496

...4711264...34647764...519841120...6909160028...103395482496...1498787263308

..33827496..258956760..4654724592..72541287824..1315300941940..22850275822056

.242859696.1942182832.41664657416.778680028616.16790996352160.350243656458156

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

EXAMPLE

Some solutions for n=4, k=3:

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

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

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

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

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

CROSSREFS

Sequence in context: A237904 A237899 A238311 * A238306 A205937 A237911

Adjacent sequences:  A205941 A205942 A205943 * A205945 A205946 A205947

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 01 2012

STATUS

approved

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Last modified October 2 23:51 EDT 2022. Contains 357230 sequences. (Running on oeis4.)