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A253993 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally 14
512, 2736, 2736, 11872, 13188, 11872, 51856, 68176, 71116, 51856, 222400, 350496, 477856, 406183, 222400, 914112, 1738927, 3060398, 3678188, 2136758, 914112, 3644672, 8730836, 20022358, 30663580, 25361960, 11055001, 3644672, 14254784 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......512.......2736.......11872.........51856.........222400...........914112

.....2736......13188.......68176........350496........1738927..........8730836

....11872......71116......477856.......3060398.......20022358........133063670

....51856.....406183.....3678188......30663580......266574705.......2365554897

...222400....2136758....25361960.....271991670.....3087530706......36583132201

...914112...11055001...175815629....2421183428....36681094867.....592324411676

..3644672...57285940..1239374238...22204822621...455476058266...10020346952054

.14254784..292920515..8586595803..200874606941..5538766707221..165655419206274

.54856896.1484002479.59232122744.1804016250888.66868897093260.2726242788022844

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..178

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 22]

k=3: [order 92] for n>99

Empirical for row n:

n=1: [same linear recurrence of order 22]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

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

CROSSREFS

Sequence in context: A254512 A254819 A254505 * A258910 A253986 A250826

Adjacent sequences:  A253990 A253991 A253992 * A253994 A253995 A253996

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 21 2015

STATUS

approved

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Last modified May 22 06:32 EDT 2019. Contains 323478 sequences. (Running on oeis4.)