A254260 T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with every 3 X 3 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, vertically and ne-to-sw antidiagonally.

512, 2812, 2812, 12616, 14681, 12616, 54236, 72644, 59531, 54236, 236024, 382316, 268900, 223357, 236024, 1021428, 1989857, 1420232, 718226, 888391, 1021428, 4351908, 10193041, 7815717, 2983064, 2192422, 3647288, 4351908, 18369164

Offset

1,1

Comments

Table starts

.......512.......2812.....12616......54236.....236024.....1021428......4351908

......2812......14681.....72644.....382316....1989857....10193041.....52034327

.....12616......59531....268900....1420232....7815717....43088793....240716320

.....54236.....223357....718226....2983064...12249828....49369118....197326142

....236024.....888391...2192422....9308828...35691048...159041102....742483152

...1021428....3647288...6729896...29231312...87535036...325742026...1249946456

...4351908...15380009..21120938...98883824..214982444...933774220...3756830312

..18369164...65954108..68298122..378114160..718305580..3391678348..14833693096

..77344420..284203166.216717474.1430424048.1845854060..9927463676..43837197480

.325241108.1230877185.690324184.5564609520.5194299052.34363573228.151675299240

Links

R. H. Hardin, Table of n, a(n) for n = 1..638

Formula

Empirical for column k:

k=1: [linear recurrence of order 17],

k=2: [order 21] for n>25,

k=3: [order 13] for n>19,

k=4: [order 12] for n>18,

k=5: [order 14] for n>21,

k=6: [order 12] for n>20,

k=7: [order 17] for n>25.

Empirical for row n:

n=1: [same linear recurrence of order 17],

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

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

n=4: [order 41] for n>50,

n=5: [order 47] for n>58,

n=6: [order 53] for n>67,

n=7: [order 65] for n>82.

Example

Some solutions for n=2, k=4
..1..0..1..1..0..1....0..1..0..0..1..0....1..0..0..1..0..0....0..0..1..1..1..1
..1..1..1..0..1..1....1..0..0..0..0..1....1..0..0..0..0..1....0..0..1..0..0..1
..0..0..1..0..0..0....0..0..0..1..0..0....0..0..0..0..1..1....1..1..0..1..1..0
..1..1..0..1..1..1....1..1..1..1..1..1....0..1..1..0..0..0....0..1..1..1..0..0

Crossrefs

Sequence in context: A250504 A250820 A250497 * A254306 A258530 A254922

Adjacent sequences: A254257 A254258 A254259 * A254261 A254262 A254263

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 27 2015

Status

approved