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 A199523 T(n,k)=Number of nXk 0..3 arrays with values 0..3 introduced in row major order, the number of instances of each value within one of each other, and every element equal to two or fewer horizontal or vertical neighbors 8
 1, 1, 1, 1, 1, 1, 1, 45, 45, 1, 10, 105, 1260, 105, 10, 45, 6300, 15400, 15400, 6300, 45, 105, 15400, 2513869, 2491383, 2513869, 15400, 105, 105, 1030230, 174524175, 425836476, 425836476, 174524175, 1030230, 105, 1260, 2559433, 5866391058 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS Table starts ....1.........1...........1..............1...............10...............45 ....1.........1..........45............105.............6300............15400 ....1........45........1260..........15400..........2513869........174524175 ....1.......105.......15400........2491383........425836476......76066541392 ...10......6300.....2513869......425836476....1036302685728.1049206835165446 ...45.....15400...174524175....76066541392.1049206835165446 ..105...1030230..5866391058.14045226977086 ..105...2559433.78538951349 .1260.182663916 .6300 LINKS R. H. Hardin, Table of n, a(n) for n = 1..60 EXAMPLE Some solutions for n=4 k=3 ..0..1..0....0..1..2....0..1..2....0..1..2....0..1..2....0..1..1....0..1..2 ..2..3..3....0..1..0....1..0..2....0..1..3....3..1..0....2..3..0....3..0..2 ..0..1..2....3..3..2....0..1..3....0..2..3....1..2..3....0..2..3....2..3..1 ..3..1..2....3..1..2....3..2..3....2..1..3....3..0..2....1..2..3....3..0..1 CROSSREFS Sequence in context: A216407 A137439 A199356 * A119415 A165866 A252721 Adjacent sequences:  A199520 A199521 A199522 * A199524 A199525 A199526 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 07 2011 STATUS approved

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Last modified January 19 12:40 EST 2022. Contains 350465 sequences. (Running on oeis4.)