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A256771 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum 9
352, 1936, 1936, 9152, 14641, 9152, 43264, 81796, 81796, 43264, 189696, 456976, 475904, 456976, 189696, 831744, 2196324, 2768896, 2768896, 2196324, 831744, 3502080, 10556001, 13278720, 16777216, 13278720, 10556001, 3502080, 14745600 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.......352.......1936........9152........43264.......189696........831744
......1936......14641.......81796.......456976......2196324......10556001
......9152......81796......475904......2768896.....13278720......63680400
.....43264.....456976.....2768896.....16777216.....80281600.....384160000
....189696....2196324....13278720.....80281600....372556800....1728896400
....831744...10556001....63680400....384160000...1728896400....7780827681
...3502080...46785600...277704000...1648360000...7138454400...30914078976
..14745600..207360000..1211040000...7072810000..29474022400..122825015296
..60702720..878529600..5037021600..28879603600.115996965440..465909995776
.249892864.3722098081.20950246564.117920812816.456513732964.1767328289281
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 9]
k=2: [order 27]
k=3: [order 40]
k=4: [order 47]
k=5: [same order 47]
EXAMPLE
Some solutions for n=2 k=4
..0..1..0..1..0..0....0..1..0..0..0..0....0..1..0..0..0..1....0..1..0..0..0..0
..1..0..1..0..0..0....0..0..0..0..0..0....1..1..1..0..1..0....1..1..0..1..1..1
..0..0..0..0..0..0....0..0..0..0..0..1....0..0..1..0..1..1....0..1..1..0..1..0
..0..1..1..1..1..1....1..0..1..1..1..1....0..0..0..0..0..0....1..0..0..0..1..1
CROSSREFS
Sequence in context: A252250 A235888 A256025 * A256764 A255501 A229740
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 09 2015
STATUS
approved

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Last modified May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)