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A253801 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally and vertically 9
512, 2908, 2908, 14096, 22284, 14096, 66144, 162604, 162604, 66144, 299472, 1143216, 1876256, 1143216, 299472, 1303600, 7346584, 19600428, 19600428, 7346584, 1303600, 5525648, 45394736, 185592928, 300044272, 185592928, 45394736 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....512......2908.......14096........66144.........299472..........1303600

....2908.....22284......162604......1143216........7346584.........45394736

...14096....162604.....1876256.....19600428......185592928.......1701188284

...66144...1143216....19600428....300044272.....4147335800......55154148308

..299472...7346584...185592928...4147335800....83428823136....1622625002976

.1303600..45394736..1701188284..55154148308..1622625002976...46476504760232

.5525648.275822532.15314952024.715315448772.30656386352160.1288757443440100

LINKS

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

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 26]

k=2: [order 53] for n>65

EXAMPLE

Some solutions for n=2 k=4

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

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

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

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

CROSSREFS

Sequence in context: A254361 A254354 A254189 * A253794 A253961 A253764

Adjacent sequences:  A253798 A253799 A253800 * A253802 A253803 A253804

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 13 2015

STATUS

approved

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Last modified September 19 21:42 EDT 2020. Contains 337184 sequences. (Running on oeis4.)