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A197561 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 4,3,0,2,2 for x=0,1,2,3,4 7
1, 1, 1, 2, 7, 2, 3, 10, 10, 3, 5, 23, 35, 23, 5, 8, 57, 106, 106, 57, 8, 13, 122, 410, 927, 410, 122, 13, 21, 275, 1479, 4055, 4055, 1479, 275, 21, 34, 623, 5280, 23710, 36877, 23710, 5280, 623, 34, 55, 1394, 18882, 139477, 310658, 310658, 139477, 18882, 1394, 55, 89 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 2's
Table starts
..1....1......2........3..........5............8.............13
..1....7.....10.......23.........57..........122............275
..2...10.....35......106........410.........1479...........5280
..3...23....106......927.......4055........23710.........139477
..5...57....410.....4055......36877.......310658........2817383
..8..122...1479....23710.....310658......4706533.......64257852
.13..275...5280...139477....2817383.....64257852.....1435938748
.21..623..18882...791905...25115833....901951086....31372791803
.34.1394..67751..4560098..223137190..12684564675...696517116880
.55.3133.242440.25954025.1986928549.178322495650.15437789226545
LINKS
EXAMPLE
Some solutions containing all values 0 to 4 for n=6 k=4
..0..2..0..0....0..0..2..0....2..0..0..0....0..0..2..0....0..0..2..0
..2..4..2..0....0..2..4..2....0..2..2..2....2..2..4..2....0..2..4..2
..0..2..3..1....2..4..2..0....0..2..0..0....0..0..2..0....1..3..2..0
..2..0..2..0....0..2..0..0....1..3..2..0....2..1..3..2....0..2..0..0
..2..0..2..0....1..3..2..2....0..2..4..2....0..2..2..0....2..3..1..0
..0..0..2..0....0..2..0..0....2..0..2..0....2..0..0..0....0..2..0..2
CROSSREFS
Column 1 is A000045
Column 2 is A196316
Sequence in context: A197457 A197307 A196974 * A197896 A198013 A198155
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Oct 16 2011
STATUS
approved

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Last modified March 2 04:01 EST 2024. Contains 370460 sequences. (Running on oeis4.)