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A254457 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally and vertically 8
512, 3036, 3036, 16240, 26380, 16240, 76832, 196684, 196684, 76832, 348032, 1279568, 2085712, 1279568, 348032, 1511152, 8004340, 19716320, 19716320, 8004340, 1511152, 6440848, 48345120, 180449544, 275772848, 180449544, 48345120 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....512......3036.......16240........76832.........348032..........1511152

....3036.....26380......196684......1279568........8004340.........48345120

...16240....196684.....2085712.....19716320......180449544.......1621936236

...76832...1279568....19716320....275772848.....3694478768......48236381800

..348032...8004340...180449544...3694478768....71814202464....1361600709160

.1511152..48345120..1621936236..48236381800..1361600709160...37859718002056

.6440848.289945200.14531913928.623402653056.25559706957728.1041397026476012

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..219

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 32]

k=2: [order 47] for n>61

k=3: [order 73] for n>90

EXAMPLE

Some solutions for n=2 k=4

..0..0..1..0..0..0....0..0..1..0..0..0....0..0..0..1..1..0....0..0..0..1..1..0

..1..0..0..1..0..0....0..0..1..1..0..0....0..0..1..0..0..0....1..0..0..0..1..0

..1..1..1..0..0..0....1..1..1..1..1..0....1..1..0..0..0..0....1..0..0..0..0..1

..1..0..0..0..1..0....0..1..1..0..0..0....0..0..0..1..1..1....0..0..0..1..1..1

CROSSREFS

Column 1 is A254161

Sequence in context: A253757 A250139 A254168 * A254161 A254491 A253863

Adjacent sequences:  A254454 A254455 A254456 * A254458 A254459 A254460

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 30 2015

STATUS

approved

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Last modified August 11 15:10 EDT 2022. Contains 356066 sequences. (Running on oeis4.)