

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


9



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
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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



