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A251317 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements 9
10, 25, 25, 61, 79, 61, 149, 238, 238, 149, 365, 720, 890, 720, 365, 894, 2199, 3369, 3369, 2199, 894, 2189, 6717, 12859, 16006, 12859, 6717, 2189, 5360, 20484, 48980, 76167, 76167, 48980, 20484, 5360, 13125, 62464, 186162, 361845, 451826, 361845 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....10.....25.......61.......149........365.........894..........2189

....25.....79......238.......720.......2199........6717.........20484

....61....238......890......3369......12859.......48980........186162

...149....720.....3369.....16006......76167......361845.......1720147

...365...2199....12859.....76167.....451826.....2688099......16024915

...894...6717....48980....361845....2688099....20080487.....149982413

..2189..20484...186162...1720147...16024915...149982413....1401489913

..5360..62464...707897...8186775...95495471..1118147932...13088358653

.13125.190542..2693783..38968823..568712168..8339278058..122472226217

.32139.581259.10250631.185439356.3387770571.62282522930.1147464543755

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..759

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -2*a(n-2) +2*a(n-3) -a(n-4)

k=2: a(n) = 5*a(n-1) -9*a(n-2) +13*a(n-3) -13*a(n-4) +6*a(n-5) -2*a(n-6)

k=3: [order 10]

k=4: [order 15] for n>17

k=5: [order 26] for n>27

k=6: [order 42] for n>44

k=7: [order 68] for n>70

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A265150 A057462 A180043 * A251201 A048195 A133634

Adjacent sequences:  A251314 A251315 A251316 * A251318 A251319 A251320

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 01 2014

STATUS

approved

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Last modified February 22 17:14 EST 2020. Contains 332140 sequences. (Running on oeis4.)