

A196922


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


7



1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 6, 12, 12, 6, 1, 1, 9, 27, 37, 27, 9, 1, 1, 13, 58, 114, 114, 58, 13, 1, 1, 19, 121, 335, 602, 335, 121, 19, 1, 1, 28, 257, 1003, 2659, 2659, 1003, 257, 28, 1, 1, 41, 545, 3051, 11843, 18354, 11843, 3051, 545, 41, 1, 1, 60, 1153
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OFFSET

1,5


COMMENTS

Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 4's, every 4 is next to 4 0's
Table starts
.1..1....1.....1.......1........1..........1...........1.............1
.1..2....3.....4.......6........9.........13..........19............28
.1..3....7....12......27.......58........121.........257...........545
.1..4...12....37.....114......335.......1003........3051..........9290
.1..6...27...114.....602.....2659......11843.......54151........248884
.1..9...58...335....2659....18354.....123261......841565.......5796373
.1.13..121..1003...11843...123261....1272060....13167317.....137002955
.1.19..257..3051...54151...841565...13167317...208122448....3292303911
.1.28..545..9290..248884..5796373..137002955..3292303911...79321631051
.1.41.1153.28268.1149368.40206133.1435498461.52389784706.1920625948633


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..312


EXAMPLE

Some solutions for n=6 k=4
..2..2..2..0....0..0..0..0....0..2..2..2....2..2..2..2....0..0..0..0
..2..0..2..2....0..0..0..0....0..2..0..2....2..0..0..2....2..2..2..0
..2..2..0..2....2..2..2..2....2..2..0..2....2..2..2..2....2..0..2..0
..0..2..2..2....2..0..0..2....2..0..0..2....0..0..0..0....2..0..2..2
..0..0..0..0....2..2..0..2....2..2..0..2....0..0..0..0....2..2..0..2
..0..0..0..0....0..2..2..2....0..2..2..2....0..0..0..0....0..2..2..2


CROSSREFS

Column 2 is A000930(n+1)
Sequence in context: A171699 A104878 A196863 * A135597 A169945 A073134
Adjacent sequences: A196919 A196920 A196921 * A196923 A196924 A196925


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Oct 07 2011


STATUS

approved



