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A222541 T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order 13
1, 1, 2, 1, 1, 4, 4, 5, 5, 8, 5, 8, 9, 16, 16, 10, 19, 32, 58, 29, 32, 12, 54, 70, 161, 155, 78, 64, 34, 104, 361, 772, 929, 871, 236, 128, 43, 294, 842, 3293, 3872, 5216, 2393, 638, 256, 101, 665, 4314, 15953, 33612, 44498, 28925, 13852, 1515, 512, 127, 1653, 10268 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Table starts
....1.....1.......1.........4...........5..........10...........12...........34
....2.....1.......5.........8..........19..........54..........104..........294
....4.....5.......9........32..........70.........361..........842.........4314
....8....16......58.......161.........772........3293........15953........76735
...16....29.....155.......929........3872.......33612.......155007......1527917
...32....78.....871......5216.......44498......371241......3438351.....32727579
...64...236....2393.....28925......244106.....4214575.....37975912....737541492
..128...638...13852....162141.....2895313....48672973....905224187..17182756329
..256..1515...38685....912903....16220695...567352766..10437983644.408676372689
..512..4345..227848...5173092...193518017..6655462805.254476711315
.1024.11927..638554..29396683..1095187013.78403172647
.2048.32187.3811983.167762776.13140785478
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..1..1..1....0..0..0..0....0..0..0..0....0..1..1..0....0..0..0..1
..1..1..1..1....0..0..0..0....0..0..0..0....1..1..1..1....0..0..0..0
..0..1..1..1....0..0..0..1....0..1..0..0....1..1..1..1....0..0..0..1
CROSSREFS
Column 1 is A000079(n-1)
Row 1 is A222353
Sequence in context: A129704 A144460 A336996 * A177263 A357050 A197380
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 24 2013
STATUS
approved

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Last modified July 24 14:46 EDT 2024. Contains 374584 sequences. (Running on oeis4.)