

A197672


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


8



1, 3, 3, 4, 9, 4, 5, 22, 22, 5, 9, 71, 95, 71, 9, 16, 217, 546, 546, 217, 16, 25, 642, 2765, 5005, 2765, 642, 25, 39, 1963, 14503, 44323, 44323, 14503, 1963, 39, 64, 5963, 74812, 403960, 709083, 403960, 74812, 5963, 64, 105, 18018, 386556, 3675345, 11277331
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OFFSET

1,2


COMMENTS

Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 1's
Table starts
...1.....3........4..........5............9..............16................25
...3.....9.......22.........71..........217.............642..............1963
...4....22.......95........546.........2765...........14503.............74812
...5....71......546.......5005........44323..........403960...........3675345
...9...217.....2765......44323.......709083........11277331.........178113620
..16...642....14503.....403960.....11277331.......311676959........8613257822
..25..1963....74812....3675345....178113620......8613257822......417293944115
..39..5963...386556...33272751...2824369075....239118653300....20252638815131
..64.18018..2008698..301565202..44803424135...6630227642552...981414876628367
.105.54753.10415923.2734015025.710299706355.183756345226485.47569549221404522


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..143


EXAMPLE

Some solutions containing all values 0 to 4 for n=6 k=4
..0..3..0..0....1..1..2..1....0..1..2..0....1..0..0..0....0..2..1..0
..0..0..0..3....0..0..0..0....1..4..1..0....2..0..3..0....0..1..4..1
..0..0..3..0....0..3..0..0....2..1..1..0....1..0..1..2....0..1..1..1
..2..1..2..0....0..2..1..2....0..0..3..0....1..1..4..1....0..3..0..0
..1..4..1..0....0..1..4..1....0..3..0..0....0..1..1..0....0..0..0..0
..0..1..1..0....0..2..1..0....1..1..0..0....0..1..1..0....0..0..3..0


CROSSREFS

Column 1 is A195971
Sequence in context: A196685 A197409 A197431 * A284115 A183501 A086239
Adjacent sequences: A197669 A197670 A197671 * A197673 A197674 A197675


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Oct 17 2011


STATUS

approved



