A257154 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 column minus the sum of the minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2848, 2848, 13504, 16677, 13504, 62579, 96680, 101227, 62579, 281213, 541896, 732482, 594229, 281213, 1223367, 3009795, 5352986, 5449304, 3374539, 1223367, 5203324, 16759085, 40203005, 51899365, 39971674, 19028310, 5203324, 21804750

Offset

1,1

Comments

Table starts

......512......2848.......13504........62579.........281213.........1223367

.....2848.....16677.......96680.......541896........3009795........16759085

....13504....101227......732482......5352986.......40203005.......303570406

....62579....594229.....5449304.....51899365......519390250......5227360394

...281213...3374539....39971674....502447661.....6713096472.....90781754582

..1223367..19028310...295114929...4926932828....88719570970...1618913713517

..5203324.106805258..2183417807..48470017991..1174259463543..28823946919854

.21804750.596053900.16144616160.476479552209.15502395045146.511817645366610

Links

R. H. Hardin, Table of n, a(n) for n = 1..196

Formula

Empirical for column k:

k=1: [linear recurrence of order 16] for n>20

k=2: [order 44] for n>50

k=3: [order 79] for n>87

Empirical for row n:

n=1: [linear recurrence of order 16] for n>20

n=2: [order 57] for n>62

Example

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

Crossrefs

Column 1 and row 1 are A254736

Sequence in context: A254922 A254253 A254915 * A254743 A254736 A254586

Adjacent sequences: A257151 A257152 A257153 * A257155 A257156 A257157

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 16 2015

Status

approved