A237677 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1564, 1564, 9647, 14244, 9647, 63000, 132572, 132572, 63000, 412120, 1346420, 1915153, 1346420, 412120, 2668500, 13569422, 30618976, 30618976, 13569422, 2668500, 17280632, 134401476, 482106388, 796647426, 482106388, 134401476

Offset

1,1

Comments

Table starts

........256.........1564..........9647..........63000.........412120

.......1564........14244........132572........1346420.......13569422

.......9647.......132572.......1915153.......30618976......482106388

......63000......1346420......30618976......796647426....20221334140

.....412120.....13569422.....482106388....20221334140...818214906406

....2668500....134401476....7419017752...498113608930.31933527869372

...17280632...1333046350..114668103482.12343384024320

..112196812..13340078386.1793614472940

..729345568.133387449994

.4730716616

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 44] for n>45

Example

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

Crossrefs

Sequence in context: A218525 A237403 A237399 * A237672 A237921 A237915

Adjacent sequences: A237674 A237675 A237676 * A237678 A237679 A237680

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 11 2014

Status

approved