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A235421
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with 2X2 subblock sum of squares lexicographically nondecreasing rowwise and nonincreasing columnwise
8
81, 432, 432, 2304, 5022, 2304, 9504, 60879, 60231, 9504, 39204, 543946, 1607343, 533868, 39204, 138402, 4895505, 33361964, 33411901, 4740889, 138402, 488601, 35230388, 681329430, 1782209164, 692896087, 33788761, 488601, 1553877
OFFSET
1,1
COMMENTS
Table starts
.......81........432..........2304............9504............39204
......432.......5022.........60879..........543946..........4895505
.....2304......60231.......1607343........33361964........681329430
.....9504.....533868......33411901......1782209164......93548701107
....39204....4740889.....692896087.....94717997107...12393951158079
...138402...33788761...11682620720...4225274664375.1468687449529994
...488601..241566875..200551110843.190528055285203
..1553877.1459008798.2871917717259
..4941729.8848965583
.14587326
LINKS
FORMULA
Empirical for column 1 and row 1:
[same linear recurrence of order 26]
EXAMPLE
Some solutions for n=2 k=4
..2..0..0..0..0....0..2..2..0..0....2..0..1..0..0....1..0..2..0..2
..2..1..0..0..0....2..1..0..0..1....2..0..2..0..2....2..1..1..0..0
..2..0..1..0..1....2..1..0..0..2....2..1..1..0..2....0..2..0..0..2
CROSSREFS
Sequence in context: A236704 A236604 A236698 * A236282 A235417 A237391
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 10 2014
STATUS
approved