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 A183456 T(n,k) = Number of n X k binary arrays with every 1 having exactly three king-move neighbors equal to 1. 6
 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 5, 4, 1, 1, 6, 7, 7, 6, 1, 1, 9, 13, 10, 13, 9, 1, 1, 13, 23, 22, 22, 23, 13, 1, 1, 19, 37, 43, 60, 43, 37, 19, 1, 1, 28, 63, 73, 147, 147, 73, 63, 28, 1, 1, 41, 109, 139, 310, 439, 310, 139, 109, 41, 1, 1, 60, 183, 268, 723, 1077, 1077, 723, 268, 183 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Nonzero solutions with other than 2X2 blocks of 1s first appear for k+n>=12 with both k>=5 and n>=5. Table starts .1..1...1...1....1.....1.....1......1.......1........1........1.........1 .1..2...3...4....6.....9....13.....19......28.......41.......60........88 .1..3...5...7...13....23....37.....63.....109......183......309.......527 .1..4...7..10...22....43....73....139.....268......487......904......1708 .1..6..13..22...60...147...310....723....1723.....3917.....8973.....20875 .1..9..23..43..147...439..1077...3005....8707....23625....64333....181321 .1.13..37..73..310..1077..2906...9511...32518....99333...312764...1046598 .1.19..63.139..723..3005..9511..36995..150145...547767..2049243...8099185 .1.28.109.268.1723..8707.32518.150145..739752..3285309.14656969..70963308 .1.41.183.487.3917.23625.99333.547767.3285309.16870217.90056146.543666294 LINKS R. H. Hardin, Table of n, a(n) for n = 1..337 EXAMPLE Some solutions for 6X5 ..0..0..0..0..0....0..0..0..0..0....0..0..1..1..0....0..0..0..0..0 ..1..1..0..0..0....0..0..0..0..0....0..0..1..1..0....1..1..0..0..0 ..1..1..0..0..0....1..1..0..0..0....0..0..0..0..0....1..1..0..0..0 ..0..0..0..1..1....1..1..0..1..1....1..1..0..0..0....0..0..0..0..0 ..1..1..0..1..1....0..0..0..1..1....1..1..0..1..1....1..1..0..1..1 ..1..1..0..0..0....0..0..0..0..0....0..0..0..1..1....1..1..0..1..1 CROSSREFS Column 2 is A000930(n+1). Column 3 is A003229. Column 4 is A084386(n+1). Column 5 is A183452. Sequence in context: A329329 A306697 A297845 * A296313 A183342 A046688 Adjacent sequences: A183453 A183454 A183455 * A183457 A183458 A183459 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 05 2011 STATUS approved

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Last modified December 4 22:39 EST 2023. Contains 367565 sequences. (Running on oeis4.)