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 A216612 T(n,k)=Number of horizontal, diagonal and antidiagonal neighbor colorings of the odd squares of an nXk array with new integer colors introduced in row major order 10
 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 5, 2, 2, 5, 15, 20, 15, 5, 2, 15, 41, 203, 67, 52, 5, 5, 52, 716, 3429, 4140, 1335, 203, 15, 5, 203, 2847, 83440, 83437, 115975, 6097, 877, 15, 15, 877, 83440, 2711768, 18171918, 20880505, 4213597, 192713, 4140, 52, 15, 4140 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,9 COMMENTS Table starts ...1......1.........1............1..............1................2 ...1......1.........1............2..............5...............15 ...1......2.........2...........15.............41..............716 ...2......5........20..........203...........3429............83440 ...2.....15........67.........4140..........83437.........18171918 ...5.....52......1335.......115975.......20880505.......6423127757 ...5....203......6097......4213597......942420901....3376465219485 ..15....877....192713....190899322...484968748793.2486327138729353 ..15...4140...1094076..10480142147.33862631596393 ..52..21147..49055292.682076806159 ..52.115975.329588907 .203.678570 LINKS R. H. Hardin, Table of n, a(n) for n = 1..96 EXAMPLE Some solutions for n=4 k=4 ..x..0..x..1....x..0..x..1....x..0..x..1....x..0..x..1....x..0..x..1 ..2..x..3..x....2..x..3..x....1..x..2..x....2..x..3..x....1..x..2..x ..x..4..x..2....x..1..x..2....x..0..x..3....x..4..x..0....x..3..x..4 ..5..x..6..x....4..x..3..x....2..x..1..x....2..x..5..x....0..x..2..x CROSSREFS Column 2 is A000110(n-1) Column 4 is A020557(n-1) Column 6 is A208051 Row 2 is A000110(n-2) Row 4 is A216462 Row 6 is A216464 Even squares: A216460 Sequence in context: A156748 A351455 A075445 * A194447 A307219 A345764 Adjacent sequences: A216609 A216610 A216611 * A216613 A216614 A216615 KEYWORD nonn,tabl AUTHOR R. H. Hardin Sep 10 2012 STATUS approved

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Last modified March 25 23:06 EDT 2023. Contains 361529 sequences. (Running on oeis4.)