A254586 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2868, 2868, 15051, 17125, 15051, 72939, 96756, 110259, 72939, 332330, 545360, 774168, 649029, 332330, 1451174, 3083065, 5909527, 5852880, 3699505, 1451174, 6117882, 17163021, 45867931, 58920922, 42278366, 20636376, 6117882, 25078442

Offset

1,1

Comments

Table starts

......512......2868.......15051........72939.........332330.........1451174

.....2868.....17125.......96756.......545360........3083065........17163021

....15051....110259......774168......5909527.......45867931.......350562134

....72939....649029.....5852880.....58920922......613720640......6258245316

...332330...3699505....42278366....548753241.....7610621332....103508337281

..1451174..20636376...305579066...5184793937....96984109170...1782085332862

..6117882.113625185..2204567802..49094787979..1242236438386..30739517451493

.25078442.620711336.15863354126.464109388554.15846867693636.527044893827218

Links

R. H. Hardin, Table of n, a(n) for n = 1..311

Formula

Empirical for column k:

k=1: [linear recurrence of order 26] for n>27

k=2: [order 25] for n>30

k=3: [order 18] for n>25

k=4: [order 25] for n>32

k=5: [order 38] for n>46

k=6: [order 63] for n>72

Empirical for row n:

n=1: [same linear recurrence of order 26] for n>27

n=2: [order 49] for n>55

n=3: [order 66] for n>81

Example

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

Crossrefs

Column 1 and row 1 are A254354

Sequence in context: A257154 A254743 A254736 * A254361 A254354 A254189

Adjacent sequences: A254583 A254584 A254585 * A254587 A254588 A254589

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 01 2015

Status

approved