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A236798
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2X2 subblock equal
9
81, 255, 255, 825, 1231, 825, 2817, 6217, 6217, 2817, 9717, 34163, 47831, 34163, 9717, 34317, 191657, 420133, 420133, 191657, 34317, 122305, 1116735, 3722333, 6154349, 3722333, 1116735, 122305, 442285, 6597729, 34857701, 89430035, 89430035
OFFSET
1,1
COMMENTS
Table starts
......81........255..........825...........2817..............9717
.....255.......1231.........6217..........34163............191657
.....825.......6217........47831.........420133...........3722333
....2817......34163.......420133........6154349..........89430035
....9717.....191657......3722333.......89430035........2074360867
...34317....1116735.....34857701.....1381705469.......51617074157
..122305....6597729....327044595....21112919819.....1250715634759
..442285...39752795...3142571647...330530592515....31213918081267
.1612085..241456349..30163324455..5132785239389...766423213825979
.5935493.1481423855.292580627371.80558311836989.19091407245029811
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 20]
k=2: [order 38]
k=3: [order 83]
EXAMPLE
Some solutions for n=3 k=4
..0..1..2..1..1....0..0..2..0..2....0..0..1..1..1....0..2..0..2..1
..2..0..0..1..1....2..2..2..2..0....1..1..1..0..0....0..2..0..2..0
..1..1..2..1..1....0..2..0..2..2....0..1..0..1..1....2..0..2..0..2
..2..0..1..0..2....2..1..2..2..0....1..1..1..1..0....2..0..2..2..0
CROSSREFS
Sequence in context: A225020 A219131 A236789 * A237067 A236782 A236791
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 31 2014
STATUS
approved