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A196957
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 2,1,3,4,0 for x=0,1,2,3,4
7
1, 2, 2, 3, 5, 3, 4, 9, 9, 4, 6, 20, 26, 20, 6, 9, 41, 87, 87, 41, 9, 13, 85, 282, 492, 282, 85, 13, 19, 178, 919, 2687, 2687, 919, 178, 19, 28, 369, 2987, 14509, 23956, 14509, 2987, 369, 28, 41, 769, 9722, 78717, 214124, 214124, 78717, 9722, 769, 41, 60, 1600, 31643
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 3's, every 3 is next to 3 4's, every 4 is next to 4 0's
Table starts
..1....2......3........4..........6............9.............13
..2....5......9.......20.........41...........85............178
..3....9.....26.......87........282..........919...........2987
..4...20.....87......492.......2687........14509..........78717
..6...41....282.....2687......23956.......214124........1918608
..9...85....919....14509.....214124......3166711.......46887039
.13..178...2987....78717....1918608.....46887039.....1147966466
.19..369...9722...427700...17197531....695103098....28133304588
.28..769..31643..2320738..154075730..10297360567...688970472958
.41.1600.102962.12593583.1380294235.152533682507.16871844816740
LINKS
EXAMPLE
Some solutions for n=6 k=4
..0..0..0..0....0..1..0..0....1..1..0..0....0..1..0..0....0..0..0..0
..1..0..1..1....0..1..0..0....0..0..1..1....0..1..0..0....0..0..1..0
..1..0..0..0....0..0..0..0....1..1..0..0....1..0..0..0....0..0..1..0
..0..0..1..1....0..0..0..0....0..0..4..0....1..0..4..0....0..0..0..1
..1..0..0..0....0..1..0..0....0..0..0..0....0..4..0..0....1..1..0..1
..1..0..0..0....0..1..0..0....0..1..1..0....0..0..1..1....0..0..0..0
CROSSREFS
Column 1 is A000930(n+1)
Column 2 is A105309(n+1)
Sequence in context: A196436 A197199 A295120 * A124727 A210565 A125101
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Oct 08 2011
STATUS
approved