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 A223000 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order 8
 1, 1, 2, 2, 7, 5, 10, 45, 51, 14, 24, 272, 534, 391, 41, 72, 1814, 11114, 13655, 2894, 122, 168, 12742, 125907, 486262, 184475, 22491, 365, 664, 87682, 2889947, 18420655, 21692365, 4816824, 173099, 1094, 1632, 608358, 34120953, 713884175, 1388632315 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts .....1........1...........2............10.............24.............72 .....2........7..........45...........272...........1814..........12742 .....5.......51.........534.........11114.........125907........2889947 ....14......391.......13655........486262.......18420655......713884175 ....41.....2894......184475......21692365.....1388632315...182298485349 ...122....22491.....4816824.....982879508...213770689590.47420968486333 ...365...173099....67178532...45079248621.16612891441497 ..1094..1351439..1775642951.2086133257739 ..3281.10562301.25210032184 ..9842.83067164 .29525 LINKS R. H. Hardin, Table of n, a(n) for n = 1..71 EXAMPLE Some solutions for n=3 k=4 ..0..1..2..0....0..0..0..1....0..1..2..0....0..0..1..1....0..1..0..2 ..0..0..2..0....2..1..0..2....0..1..2..1....1..2..0..2....0..2..0..1 ..2..1..0..1....0..2..0..2....2..1..0..0....1..2..1..2....1..2..2..1 CROSSREFS Column 1 is A007051(n-1) Column 2 is A222849 Row 1 is A222848 Sequence in context: A241370 A197735 A249493 * A058625 A300126 A006748 Adjacent sequences:  A222997 A222998 A222999 * A223001 A223002 A223003 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 11 2013 STATUS approved

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Last modified February 15 22:28 EST 2019. Contains 320138 sequences. (Running on oeis4.)