A237375 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 288, 288, 1024, 1164, 1024, 3840, 4760, 4760, 3840, 14400, 20812, 22676, 20812, 14400, 53760, 90528, 116880, 116880, 90528, 53760, 200704, 393456, 597492, 723928, 597492, 393456, 200704, 752640, 1707488, 3049632, 4429368, 4429368, 3049632

Offset

1,1

Comments

Table starts

.......81.......288.......1024........3840........14400.........53760

......288......1164.......4760.......20812........90528........393456

.....1024......4760......22676......116880.......597492.......3049632

.....3840.....20812.....116880......723928......4429368......27053348

....14400.....90528.....597492.....4429368.....32296444.....234383800

....53760....393456....3049632....27053348....234383800....2025855560

...200704...1707488...15573476...165467520...1707821384...17548046424

...752640...7460608...80201408..1026092552..12676271720..155695765032

..2822400..32509760..411286836..6319203136..93083424892.1358174204976

.10536960.141269808.2099304960.38680736568.676587278680

Links

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

Formula

Empirical for column k:

k=1: a(n) = 196*a(n-4) for n>6

k=2: a(n) = 370*a(n-4) -3916*a(n-8) +6904*a(n-12) -1984*a(n-16) for n>18

k=3: [order 92] for n>94

Example

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

Crossrefs

Sequence in context: A236802 A236875 A236868 * A237368 A017078 A359245

Adjacent sequences: A237372 A237373 A237374 * A237376 A237377 A237378

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 07 2014

Status

approved