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 A183729 T(n,k) = 1/12 the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction. 10
 0, 1, 1, 12, 2, 12, 87, 29, 29, 87, 537, 388, 124, 388, 537, 3070, 4170, 1790, 1790, 4170, 3070, 16731, 41423, 30939, 14886, 30939, 41423, 16731, 88331, 388998, 525895, 272215, 272215, 525895, 388998, 88331, 455804, 3528126, 8439116, 7319684 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Adjacent blocks have the same sense when one uses a gap in a shared side as a fall and the other uses it as an increase. Table starts .......0.........1..........12............87.............537..............3070 .......1.........2..........29...........388............4170.............41423 ......12........29.........124..........1790...........30939............525895 ......87.......388........1790.........14886..........272215...........7319684 .....537......4170.......30939........272215.........3723606.........112949014 ....3070.....41423......525895.......7319684.......112949014........2740758406 ...16731....388998.....8439116.....200260149......4858574535......134020420595 ...88331...3528126...130610844....5355252106....221403152762.....9546147995730 ..455804..31206553..1967828529..139489865583...9949950285008...729082624201394 .2311983.270945278.29070445544.3561214845505.439077020908186.55559473375122011 LINKS R. H. Hardin, Table of n, a(n) for n = 1..160 EXAMPLE Some solutions with the first block increasing clockwise for 4 X 3: ..3..4..2....4..0..5....0..1..0....4..5..4....0..2..0....3..4..3....5..2..1 ..1..0..1....2..1..2....5..2..5....3..0..3....4..3..4....2..5..2....4..3..4 ..2..5..2....3..0..3....4..3..4....2..1..2....5..2..5....1..0..1....5..2..5 ..3..4..3....4..5..4....0..2..5....4..0..4....0..1..0....3..5..4....0..1..0 ... ...R..L.......R..L.......R..L.......R..L.......R..L.......R..L.......R..L... ...L..R.......L..R.......R..L.......R..L.......L..R.......R..L.......L..R... ...L..R.......L..R.......L..R.......L..R.......L..R.......L..R.......L..R... CROSSREFS Sequence in context: A215416 A264970 A287205 * A238718 A303782 A335043 Adjacent sequences: A183726 A183727 A183728 * A183730 A183731 A183732 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 06 2011 STATUS approved

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Last modified December 7 17:25 EST 2022. Contains 358668 sequences. (Running on oeis4.)