A183492 T(n,k)=Number of nXk 0..3 arrays with every element equal to either the sum mod 4 of its vertical neighbors or the sum mod 4 of its horizontal neighbors

1, 4, 4, 7, 28, 7, 10, 88, 88, 10, 22, 400, 281, 400, 22, 43, 1936, 1859, 1859, 1936, 43, 73, 8368, 13246, 17260, 13246, 8368, 73, 139, 38272, 63807, 295753, 295753, 63807, 38272, 139, 268, 176320, 397689, 2389384, 9580528, 2389384, 397689, 176320, 268

Offset

1,2

Comments

Table starts

...1.......4........7.........10..........22..........43..........73

...4......28.......88........400........1936........8368.......38272

...7......88......281.......1859.......13246.......63807......397689

..10.....400.....1859......17260......295753.....2389384....22721738

..22....1936....13246.....295753.....9580528...150716451..3384231070

..43....8368....63807....2389384...150716451..2596400089.91098582570

..73...38272...397689...22721738..3384231070.91098582570

.139..176320..2438053..283516092.82763266524

.268..800512.13469845.2756716450

.487.3661312.81119250

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Example

Some solutions for 4X3
..0..0..0....2..2..0....0..1..1....2..2..0....0..2..2....3..3..0....0..1..1
..0..0..0....0..0..0....0..2..2....1..1..0....0..1..1....0..0..0....0..0..0
..0..0..0....1..2..3....0..0..0....0..0..0....0..2..2....3..2..1....2..0..2
..2..2..0....1..2..3....0..0..0....0..0..0....0..1..1....3..2..1....2..0..2

Crossrefs

Column 1 is A084386(n+1)

Sequence in context: A173324 A318243 A321661 * A019159 A019250 A200509

Adjacent sequences: A183489 A183490 A183491 * A183493 A183494 A183495

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2011

Status

approved