A238081 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1592, 1592, 9884, 14456, 9884, 59772, 132316, 132316, 59772, 378708, 1191324, 1781008, 1191324, 378708, 2285576, 10449784, 19616408, 19616408, 10449784, 2285576, 14349272, 92535056, 242829762, 336372000, 242829762, 92535056

Offset

1,1

Comments

Table starts

........256.........1592...........9884.............59772..............378708

.......1592........14456.........132316...........1191324............10449784

.......9884.......132316........1781008..........19616408...........242829762

......59772......1191324.......19616408.........336372000..........6222330452

.....378708.....10449784......242829762........6222330452........182752988334

....2285576.....92535056.....2981477664......119781203860.......5032066269920

...14349272....831852752....39928365220.....2220366275092.....146517793924666

...86693008...7439225960...464223535984....40590407292556....4129457221662176

..546582828..65951303220..5897707478324...760523734925120..123794073907866626

.3300593268.586352178784.71387175302572.14540553425940596.3439338548069808556

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 17*a(n-2) +736*a(n-4) +2353*a(n-6) +2483*a(n-8) +800*a(n-10) for n>11

k=2: [order 25] for n>26

k=3: [order 60] for n>63

Example

Some solutions for n=2 k=4
..0..0..0..0..1....1..1..0..2..2....1..0..1..2..2....0..1..3..0..2
..2..1..0..0..0....1..1..0..2..1....0..2..3..2..1....2..3..3..1..0
..2..2..1..0..2....1..2..1..3..3....1..3..1..0..2....1..2..2..1..3

Crossrefs

Sequence in context: A237672 A237921 A237915 * A238074 A251974 A250429

Adjacent sequences: A238078 A238079 A238080 * A238082 A238083 A238084

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 17 2014

Status

approved