

A196856


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


8



1, 2, 2, 4, 11, 4, 6, 38, 38, 6, 12, 136, 206, 136, 12, 22, 496, 1370, 1370, 496, 22, 40, 1792, 8767, 16876, 8767, 1792, 40, 74, 6440, 56470, 199125, 199125, 56470, 6440, 74, 136, 23306, 363685, 2369631, 4326720, 2369631, 363685, 23306, 136, 250, 84180
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OFFSET

1,2


COMMENTS

Every 0 is next to 0 3's, every 1 is next to 1 1's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 4's
Table starts
...1......2........4...........6.............12...............22
...2.....11.......38.........136............496.............1792
...4.....38......206........1370...........8767............56470
...6....136.....1370.......16876.........199125..........2369631
..12....496.....8767......199125........4326720.........94652804
..22...1792....56470.....2369631.......94652804.......3805929995
..40...6440...363685....28194191.....2069281146.....152929723254
..74..23306..2343584...335586650....45250654402....6148984299163
.136..84180.15108610..3993458371...989582452566..247223213832440
.250.303664.97376923.47516896629.21641093339471.9939022894905148


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144


EXAMPLE

Some solutions for n=6 k=4
..0..0..0..2....0..0..0..0....0..0..0..0....0..0..0..2....0..0..0..1
..0..0..0..0....0..0..1..2....0..0..2..2....0..0..0..0....0..0..0..1
..1..1..2..0....2..2..1..0....1..1..2..0....0..0..1..1....2..1..1..0
..0..0..2..2....0..0..2..2....0..0..0..0....0..1..0..0....0..0..2..0
..2..2..0..0....1..1..0..0....0..0..1..2....2..1..0..0....0..0..1..1
..0..2..0..0....0..0..0..0....0..2..1..0....0..0..0..2....0..0..2..0


CROSSREFS

Column 1 is A196700
Sequence in context: A092635 A270549 A321204 * A196707 A196950 A295847
Adjacent sequences: A196853 A196854 A196855 * A196857 A196858 A196859


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Oct 06 2011


STATUS

approved



