A197069 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,1,3,0,2 for x=0,1,2,3,4

1, 2, 2, 3, 5, 3, 4, 11, 11, 4, 6, 34, 76, 34, 6, 9, 101, 408, 408, 101, 9, 13, 299, 2026, 3466, 2026, 299, 13, 19, 890, 10582, 33407, 33407, 10582, 890, 19, 28, 2643, 55882, 338295, 645970, 338295, 55882, 2643, 28, 41, 7855, 292564, 3302634, 11800402, 11800402

Offset

1,2

Comments

Every 0 is next to 0 4's, every 1 is next to 1 1's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 2's

Table starts

..1.....2.......3..........4.............6...............9.................13

..2.....5......11.........34...........101.............299................890

..3....11......76........408..........2026...........10582..............55882

..4....34.....408.......3466.........33407..........338295............3302634

..6...101....2026......33407........645970........11800402..........211057159

..9...299...10582.....338295......11800402.......387792259........12999535244

.13...890...55882....3302634.....211057159.....12999535244.......814152081238

.19..2643..292564...32228538....3846342121....440670363348.....50916124396857

.28..7855.1530151..317069301...70050139103..14820242617606...3169573665892646

.41.23340.8011519.3110367731.1273134867769.498301224553681.197847302932994974

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Example

Some solutions for n=6 k=4
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..1....0..0..0..0
..0..3..0..3....1..0..0..3....0..0..3..0....0..0..0..1....1..0..3..0
..1..1..3..0....1..0..0..0....1..0..1..1....0..3..3..0....1..0..1..1
..0..0..0..0....0..1..1..0....1..3..0..0....0..0..0..3....0..0..0..0
..0..0..0..0....1..0..0..3....0..0..0..0....0..0..0..0....0..0..0..1
..0..0..0..0....1..0..3..0....1..1..0..0....0..0..1..1....0..0..0..1

Crossrefs

Column 1 is A000930(n+1)

Column 2 is A196690

Sequence in context: A295551 A196696 A196729 * A197450 A240406 A303682

Adjacent sequences: A197066 A197067 A197068 * A197070 A197071 A197072

Keyword

nonn,tabl

Author

R. H. Hardin Oct 09 2011

Status

approved