A254845 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 and vertically

512, 2485, 2485, 8776, 10550, 8776, 30182, 37642, 37642, 30182, 99200, 117706, 131776, 117706, 99200, 293012, 298165, 340387, 340387, 298165, 293012, 794128, 645882, 638688, 701614, 638688, 645882, 794128, 2084773, 1323795, 1102937

Offset

1,1

Comments

Table starts

......512....2485....8776....30182....99200...293012....794128...2084773

.....2485...10550...37642...117706...298165...645882...1323795...2679351

.....8776...37642..131776...340387...638688..1102937...1795490...2870508

....30182..117706..340387...701614..1308339..2339906...3986282...6690291

....99200..298165..638688..1308339..2423232..4446577...7695684..12905204

...293012..645882.1102937..2339906..4446577..8565304..15676281..28139328

...794128.1323795.1795490..3986282..7695684.15676281..29838772..55992976

..2084773.2679351.2870508..6690291.12905204.28139328..55992976.111752868

..5392400.5270801.4430116.10891568.20980412.48596429.100413564.211156264

.13573624.9822005.6683904.17356772.33267336.82388048.176175692.391428238

Links

R. H. Hardin, Table of n, a(n) for n = 1..924

Formula

Empirical for column k:

k=1: [linear recurrence of order 36] for n>41

k=2: [order 72] for n>85

k=3: [order 28] for n>47

k=4: [order 29] for n>53

k=5: [order 16] for n>43

k=6: [order 22] for n>54

k=7: [order 18] for n>53

Example

Some solutions for n=3 k=4
..0..1..0..1..0..0....0..1..0..0..0..0....0..0..0..0..0..0....0..1..0..0..0..0
..0..1..1..0..0..1....1..0..0..1..1..0....1..1..0..0..1..1....1..1..1..1..1..0
..0..1..1..0..0..0....0..1..1..0..0..1....0..0..1..1..0..0....0..1..1..0..0..1
..0..1..0..0..0..0....0..1..0..0..0..0....1..0..0..0..0..0....1..1..0..0..0..1
..0..1..0..0..0..0....0..0..0..1..0..0....0..1..1..0..0..0....1..0..1..1..0..0

Crossrefs

Sequence in context: A256904 A256897 A255756 * A254838 A257784 A254020

Adjacent sequences: A254842 A254843 A254844 * A254846 A254847 A254848

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 08 2015

Status

approved