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A255756
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T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally
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14
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512, 2485, 2485, 8776, 7765, 8776, 30182, 24536, 20730, 30182, 99200, 72884, 51064, 46367, 99200, 293012, 180619, 111064, 71651, 86062, 293012, 794128, 386060, 197284, 118925, 81494, 156658, 794128, 2084773, 778827, 341801, 203503, 124928
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OFFSET
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1,1
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COMMENTS
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Table starts
......512....2485...8776...30182..99200..293012..794128.2084773.5392400
.....2485....7765..24536...72884.180619..386060..778827.1580226.3130455
.....8776...20730..51064..111064.197284..341801..551068..880000.1327924
....30182...46367..71651..118925.203503..371616..619142.1072628.1797116
....99200...86062..81494..124928.196744..360501..553072..962648.1560352
...293012..156658.108201..177281.237248..473630..652833.1289436.2035202
...794128..290525.145536..306248.300504..733081..739776.1603012.1998480
..2084773..531182.211742..517386.402972.1166662.1010588.2509233.2982542
..5392400..940860.299128..766616.543216.1720217.1167904.3479884.2833848
.13573624.1668674.414453.1335701.719217.3169356.1647077.6485710.4686897
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 36] for n>41
k=2: [order 44] for n>53
k=3: a(n) = 2*a(n-1) -a(n-2) +4*a(n-4) -8*a(n-5) +4*a(n-6) for n>18
k=4: [order 14] for n>26
k=5: a(n) = 2*a(n-1) -a(n-2) +4*a(n-4) -8*a(n-5) +4*a(n-6) for n>18
k=6: [same order 14] for n>28
k=7: a(n) = 2*a(n-1) -a(n-2) +4*a(n-4) -8*a(n-5) +4*a(n-6) for n>20
Empirical for row n:
n=1: [linear recurrence of order 36] for n>41
n=2: [order 72] for n>85
n=3: [order 28] for n>47
n=4: [order 29] for n>53
n=5: [order 16] for n>43
n=6: [order 22] for n>54
n=7: [order 18] for n>53
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EXAMPLE
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Some solutions for n=4 k=4
..0..1..1..1..1..0....1..1..0..0..1..0....0..1..1..1..1..1....1..1..1..0..0..1
..1..1..1..1..1..1....0..1..1..1..0..1....1..1..1..1..1..1....1..1..1..1..0..0
..1..1..1..1..1..1....0..1..1..1..0..0....1..1..1..1..1..1....1..1..0..0..1..0
..1..1..1..1..0..0....0..0..0..0..0..0....1..1..1..1..1..0....0..1..1..0..0..0
..1..0..0..0..0..1....0..0..0..0..0..0....1..1..1..1..0..0....1..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..1....1..1..1..0..0..1....1..1..1..1..0..1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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