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

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Last modified April 25 13:31 EDT 2019. Contains 322461 sequences. (Running on oeis4.)