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A254260 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 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 15
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 25 13:27 EDT 2021. Contains 348252 sequences. (Running on oeis4.)