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.

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

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