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A206109 T(n,k) = number of (n+1) X (k+1) 0..3 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards. 9
256, 2292, 2292, 15564, 33688, 15564, 95408, 359932, 359932, 95408, 574364, 3991540, 8114696, 3991540, 574364, 3472540, 48804116, 210981300, 210981300, 48804116, 3472540, 21122008, 628383700, 5942161220, 12793359564, 5942161220 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......256.........2292...........15564..............95408

......2292........33688..........359932............3991540

.....15564.......359932.........8114696..........210981300

.....95408......3991540.......210981300........12793359564

....574364.....48804116......5942161220.......816173366244

...3472540....628383700....173412646632.....53034080059688

..21122008...8315311380...5144980591044...3471628061187072

.129099360.111777355164.153835526412512.227967307330878004

LINKS

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

EXAMPLE

Some solutions for n=4, k=3:

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

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

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

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

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

CROSSREFS

Sequence in context: A235521 A235652 A235518 * A206102 A014713 A205642

Adjacent sequences:  A206106 A206107 A206108 * A206110 A206111 A206112

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 03 2012

STATUS

approved

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Last modified January 22 07:39 EST 2020. Contains 331139 sequences. (Running on oeis4.)