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 A205659 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors. 14
 256, 1976, 2120, 15616, 12296, 17920, 124048, 95008, 75108, 151824, 986388, 839872, 511632, 489984, 1285076, 7854572, 7919128, 5016144, 3227968, 3323532, 10876432, 62623348, 76028256, 57716364, 41013960, 21711080, 23019504, 92062852 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .......256.......1976......15616.......124048.........986388.........7854572 ......2120......12296......95008.......839872........7919128........76028256 .....17920......75108.....511632......5016144.......57716364.......711793356 ....151824.....489984....3227968.....41013960......639426584.....10795687000 ...1285076....3323532...21711080....353779964.....7578064080....183567605276 ..10876432...23019504..142040528...3024213232....88431310744...2994560119488 ..92062852..162377816..939384668..26605030292..1092079388028..54588666013136 .779221408.1156073240.6315887616.240164548160.13465529402424.946322990916328 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 EXAMPLE Some solutions for n=4, k=3: ..2..3..3..2....1..2..0..2....0..2..3..2....0..2..1..3....0..0..2..3 ..3..1..0..3....1..2..0..1....1..0..1..3....0..2..1..2....1..0..2..3 ..3..3..3..3....0..1..2..1....1..1..1..1....1..0..3..2....3..1..3..0 ..3..3..3..3....2..1..3..2....1..1..1..1....0..0..0..0....3..1..3..0 ..0..0..0..2....3..1..2..2....2..0..1..2....1..2..3..3....2..3..1..2 CROSSREFS Column 1 is A205459. Row 1 is A205363. Sequence in context: A235965 A206188 A205370 * A205363 A237340 A237333 Adjacent sequences:  A205656 A205657 A205658 * A205660 A205661 A205662 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 30 2012 STATUS approved

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Last modified July 26 20:17 EDT 2021. Contains 346294 sequences. (Running on oeis4.)