

A196729


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 2,1,4,0,3 for x=0,1,2,3,4


5



1, 2, 2, 3, 5, 3, 4, 11, 11, 4, 6, 34, 76, 34, 6, 9, 101, 408, 408, 101, 9, 13, 299, 2025, 3394, 2025, 299, 13, 19, 890, 10548, 30971, 30971, 10548, 890, 19, 28, 2643, 55431, 299031, 547874, 299031, 55431, 2643, 28, 41, 7855, 289038, 2810070, 9376754, 9376754
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OFFSET

1,2


COMMENTS

Every 0 is next to 0 2's, every 1 is next to 1 1's, every 2 is next to 2 4's, every 3 is next to 3 0's, every 4 is next to 4 3's
Table starts
..1.....2.......3..........4............6...............9................13
..2.....5......11.........34..........101.............299...............890
..3....11......76........408.........2025...........10548.............55431
..4....34.....408.......3394........30971..........299031...........2810070
..6...101....2025......30971.......547874.........9376754.........155884161
..9...299...10548.....299031......9376754.......280203939........8480784814
.13...890...55431....2810070....155884161......8480784814......466328648058
.19..2643..289038...26244524...2642927522....260413708520....25627044432018
.28..7855.1506376..246996575..44901935948...7925738767972..1401061856163452
.41.23340.7857827.2321651409.759934568782.240995847511411.76824706430678661


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220


EXAMPLE

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


CROSSREFS

Column 1 is A000930(n+1)
Column 2 is A196690
Column 3 is A196691
Column 4 is A196692
Sequence in context: A295097 A295551 A196696 * A197069 A197450 A240406
Adjacent sequences: A196726 A196727 A196728 * A196730 A196731 A196732


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Oct 05 2011


STATUS

approved



