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A256771 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum 9
352, 1936, 1936, 9152, 14641, 9152, 43264, 81796, 81796, 43264, 189696, 456976, 475904, 456976, 189696, 831744, 2196324, 2768896, 2768896, 2196324, 831744, 3502080, 10556001, 13278720, 16777216, 13278720, 10556001, 3502080, 14745600 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......352.......1936........9152........43264.......189696........831744

......1936......14641.......81796.......456976......2196324......10556001

......9152......81796......475904......2768896.....13278720......63680400

.....43264.....456976.....2768896.....16777216.....80281600.....384160000

....189696....2196324....13278720.....80281600....372556800....1728896400

....831744...10556001....63680400....384160000...1728896400....7780827681

...3502080...46785600...277704000...1648360000...7138454400...30914078976

..14745600..207360000..1211040000...7072810000..29474022400..122825015296

..60702720..878529600..5037021600..28879603600.115996965440..465909995776

.249892864.3722098081.20950246564.117920812816.456513732964.1767328289281

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..336

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 27]

k=3: [order 40]

k=4: [order 47]

k=5: [same order 47]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

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

CROSSREFS

Sequence in context: A252250 A235888 A256025 * A256764 A255501 A229740

Adjacent sequences:  A256768 A256769 A256770 * A256772 A256773 A256774

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 09 2015

STATUS

approved

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Last modified December 7 20:40 EST 2021. Contains 349589 sequences. (Running on oeis4.)