A237868 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 336, 336, 1414, 1944, 1414, 6030, 11454, 11454, 6030, 25525, 68830, 95470, 68830, 25525, 107272, 405758, 811498, 811498, 405758, 107272, 453088, 2385956, 6710651, 9902380, 6710651, 2385956, 453088, 1919632, 14144254, 55582616, 115821338

Offset

1,1

Comments

Table starts

.......81........336.........1414...........6030............25525

......336.......1944........11454..........68830...........405758

.....1414......11454........95470.........811498..........6710651

.....6030......68830.......811498........9902380........115821338

....25525.....405758......6710651......115821338.......1893170622

...107272....2385956.....55582616.....1360467556......31199205700

...453088...14144254....466228162....16245005586.....524709935082

..1919632...84226372...3923377300...195628632968....8912673852976

..8117752..497945422..32640488162..2309260676524..147501045116290

.34231344.2940973430.271793432028.27312310344552.2450909073999912

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: [linear recurrence of order 14]

k=2: [order 33]

Example

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

Crossrefs

Sequence in context: A222162 A237481 A237474 * A237861 A236902 A236895

Adjacent sequences: A237865 A237866 A237867 * A237869 A237870 A237871

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 14 2014

Status

approved