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A254306 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally and vertically 8
512, 2812, 2812, 12616, 18098, 12616, 54236, 93326, 93326, 54236, 236024, 460326, 517934, 460326, 236024, 1021428, 2313072, 2530381, 2530381, 2313072, 1021428, 4351908, 11552577, 13348182, 9867433, 13348182, 11552577, 4351908, 18369164 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......512.......2812.......12616.......54236.......236024......1021428

......2812......18098.......93326......460326......2313072.....11552577

.....12616......93326......517934.....2530381.....13348182.....69860227

.....54236.....460326.....2530381.....9867433.....43077907....170114970

....236024....2313072....13348182....43077907....201263574....821922862

...1021428...11552577....69860227...170114970....821922862...2586900868

...4351908...57873415...375506912...668843106...3675487170...8957909107

..18369164..290073742..2051413540..2655696397..18140259210..36351177418

..77344420.1451688456.11310694254.10186556028..87601779910.119487334237

.325241108.7262959692.62889999700.39428714311.447277560513.419660707762

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..881

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 17]

k=2: [order 32] for n>37

k=3: [order 41] for n>47

k=4: [order 41] for n>51

k=5: [order 48] for n>62

k=6: [order 54] for n>71

k=7: [order 66] for n>86

EXAMPLE

Some solutions for n=2 k=4

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

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

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

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

CROSSREFS

Column 1 is A254253

Sequence in context: A250820 A250497 A254260 * A258530 A254922 A254253

Adjacent sequences:  A254303 A254304 A254305 * A254307 A254308 A254309

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 27 2015

STATUS

approved

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Last modified December 8 21:59 EST 2021. Contains 349596 sequences. (Running on oeis4.)