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A254390 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally 14
512, 3372, 3372, 21304, 35529, 21304, 136868, 406548, 409051, 136868, 881432, 4711324, 8533796, 4766957, 881432, 5659548, 54122833, 174326376, 175329586, 54712559, 5659548, 36317408, 623732385, 3575408117, 6208345944, 3587965682 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

........512...........3372.............21304...............136868

.......3372..........35529............406548..............4711324

......21304.........409051...........8533796............174326376

.....136868........4766957.........175329586...........6208345944

.....881432.......54712559........3587965682.........221610958936

....5659548......630430184.......73923120984........7953519068760

...36317408.....7273310228.....1521733260456......284691702793848

..233116252....83838776143....31311650491630....10191880755435432

.1496407920...966536400371...644509809793486...365002334364846728

.9605229252.11143872854174.13265570942855016.13069563587899442888

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..283

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 13]

k=2: [order 33]

k=3: [order 50]

Empirical for row n:

n=1: [same linear recurrence of order 13]

n=2: [order 41] for n>42

n=3: [order 68] for n>70

EXAMPLE

Some solutions for n=2 k=4

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

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

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

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

CROSSREFS

Column 1 and row 1 are A253978

Sequence in context: A253871 A253544 A253537 * A253985 A253978 A250574

Adjacent sequences:  A254387 A254388 A254389 * A254391 A254392 A254393

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 29 2015

STATUS

approved

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Last modified August 7 12:59 EDT 2022. Contains 355989 sequences. (Running on oeis4.)