A238180 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the minimum of every 2X2 subblock equal

81, 423, 423, 2329, 5321, 2329, 13447, 69023, 69023, 13447, 79641, 938601, 2027833, 938601, 79641, 479703, 12951743, 62220767, 62220767, 12951743, 479703, 2918233, 180345769, 1917124097, 4299264833, 1917124097, 180345769, 2918233, 17859079

Offset

1,1

Comments

Table starts

.......81.........423...........2329.............13447.................79641

......423........5321..........69023............938601..............12951743

.....2329.......69023........2027833..........62220767............1917124097

....13447......938601.......62220767........4299264833..........296231759327

....79641....12951743.....1917124097......296231759327........45437916131409

...479703...180345769....59356544695....20477016435713......6990206222515407

..2918233..2520461647..1839517772097..1415323543601575...1074790095990669977

.17859079.35289713177.57041499462367.97848393158941641.165289763647441313927

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 10*a(n-1) -22*a(n-2) -20*a(n-3) +63*a(n-4) -6*a(n-5) -24*a(n-6)

k=2: [order 8]

k=3: [order 17]

k=4: [order 34]

k=5: [order 84]

Example

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

Crossrefs

Sequence in context: A236148 A205986 A206668 * A206414 A205979 A206661

Adjacent sequences: A238177 A238178 A238179 * A238181 A238182 A238183

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 19 2014

Status

approved