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A253407 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum plus antidiagonal minimum unequal to its neighbors horizontally, vertically and ne+sw antidiagonally 9
81, 480, 480, 2890, 2192, 2890, 17560, 8168, 8168, 17560, 106540, 37828, 27362, 37828, 106540, 646240, 158472, 108950, 108950, 158472, 646240, 3920448, 638602, 367348, 403698, 367348, 638602, 3920448, 23781448, 2763096, 1489310, 1739014 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
........81.......480......2890......17560......106540.......646240......3920448
.......480......2192......8168......37828......158472.......638602......2763096
......2890......8168.....27362.....108950......367348......1489310......5662124
.....17560.....37828....108950.....403698.....1739014......7437150.....27085902
....106540....158472....367348....1739014.....7257328.....30756372....139685535
....646240....638602...1489310....7437150....30756372....196170260....954233428
...3920448...2763096...5662124...27085902...139685535....954233428...4643086490
..23781448..11635116..19137326..115826070...611083732...4184013494..27322067530
.144267352..48192624..76649188..489226254..2505801666..23948788480.163912344968
.875147104.204426054.290244550.1807771102.11760240950.123736222078.848291663906
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 10] for n>11
k=2: [order 40] for n>42
k=3: [order 56] for n>63
k=4: [order 60] for n>69
EXAMPLE
Some solutions for n=3 k=4
..2..1..0..0..0....1..2..1..1..0....2..1..2..2..2....2..2..2..0..2
..1..0..0..2..0....0..1..0..2..1....1..0..0..2..0....2..1..0..2..2
..2..2..0..1..0....0..2..0..0..2....0..2..0..1..2....0..2..0..0..0
..1..2..1..2..0....0..0..0..1..2....0..1..1..2..2....2..1..1..1..0
CROSSREFS
Sequence in context: A236775 A205293 A205286 * A253400 A250620 A237082
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 31 2014
STATUS
approved

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Last modified June 17 00:36 EDT 2024. Contains 373432 sequences. (Running on oeis4.)