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A255756 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 14
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
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
LINKS
FORMULA
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
EXAMPLE
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
CROSSREFS
Column 1 and row 1 are A254838
Sequence in context: A259006 A256904 A256897 * A254845 A254838 A257784
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 05 2015
STATUS
approved

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Last modified February 24 02:20 EST 2024. Contains 370288 sequences. (Running on oeis4.)