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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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 A236055

Adjacent sequences:  A237372 A237373 A237374 * A237376 A237377 A237378

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 07 2014

STATUS

approved

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Last modified May 20 01:04 EDT 2022. Contains 353847 sequences. (Running on oeis4.)