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A235573 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise 8
16, 50, 50, 144, 250, 144, 398, 1120, 1120, 398, 1076, 4670, 8046, 4670, 1076, 2866, 18606, 53728, 53728, 18606, 2866, 7560, 71710, 336836, 599834, 336836, 71710, 7560, 19798, 270016, 2000524, 6353336, 6353336, 2000524, 270016, 19798, 51580, 998834 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.....16.......50........144..........398............1076.............2866
.....50......250.......1120.........4670...........18606............71710
....144.....1120.......8046........53728..........336836..........2000524
....398.....4670......53728.......599834.........6353336.........63238254
...1076....18606.....336836......6353336.......118826310.......2119256572
...2866....71710....2000524.....63238254......2119256572......70251672970
...7560...270016...11372978....592286060.....35394045432....2203799654900
..19798...998834...62383454...5248500942....551086363442...64128617114034
..51580..3646406..332455972..44325853698...8029786206898.1724826332820910
.133850.13176346.1730326282.359137867202.110154213330742
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 4*a(n-1) -a(n-2) -10*a(n-3) +8*a(n-4)
k=2: [order 12]
k=3: [order 39]
EXAMPLE
Some solutions for n=3 k=4
..0..1..0..0..1....1..1..1..0..1....1..1..0..0..1....0..0..0..1..1
..1..1..1..0..1....1..1..1..1..1....1..1..1..0..1....0..0..1..1..0
..0..1..0..1..1....1..1..0..1..0....1..0..0..1..0....0..0..0..1..1
..0..0..1..1..1....1..1..0..1..0....0..1..0..0..1....1..1..1..0..0
CROSSREFS
Sequence in context: A030686 A030688 A235962 * A186850 A235566 A186842
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 12 2014
STATUS
approved

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Last modified July 23 11:07 EDT 2024. Contains 374549 sequences. (Running on oeis4.)