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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 R. H. Hardin, Table of n, a(n) for n = 1..145 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 Adjacent sequences: A222538 A222539 A222540 * A222542 A222543 A222544 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.)