A254743 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 and vertically

512, 2848, 2848, 13504, 19782, 13504, 62579, 130554, 130554, 62579, 281213, 795666, 1209260, 795666, 281213, 1223367, 4613180, 9683835, 9683835, 4613180, 1223367, 5203324, 26334567, 74915756, 100974022, 74915756, 26334567, 5203324, 21804750

Offset

1,1

Comments

Table starts

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

.....2848.....19782......130554........795666........4613180.........26334567

....13504....130554.....1209260.......9683835.......74915756........573664291

....62579....795666.....9683835.....100974022.....1036785574......10560688146

...281213...4613180....74915756....1036785574....14206747097.....194159814879

..1223367..26334567...573664291...10560688146...194159814879....3580969060985

..5203324.148992766..4337693061..106118585579..2619450227481...65010218627788

.21804750.835291656.32485851354.1056697890479.35003055321356.1168401476128817

Links

R. H. Hardin, Table of n, a(n) for n = 1..219

Formula

Empirical for column k:

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

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

Example

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

Crossrefs

Sequence in context: A254253 A254915 A257154 * A254736 A254586 A254361

Adjacent sequences: A254740 A254741 A254742 * A254744 A254745 A254746

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 06 2015

Status

approved