A256748 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 3 and no antidiagonal sum 3 and no row sum 0 and no column sum 0

153, 393, 393, 857, 570, 857, 2065, 1564, 1564, 2065, 5255, 2512, 2992, 2512, 5255, 12914, 6352, 3752, 3752, 6352, 12914, 31032, 12280, 9112, 5888, 9112, 12280, 31032, 75634, 28816, 16560, 10360, 10360, 16560, 28816, 75634, 185630, 60728, 38376

Offset

1,1

Comments

Table starts

....153....393....857...2065...5255..12914...31032...75634..185630...453792

....393....570...1564...2512...6352..12280...28816...60728..137768...311200

....857...1564...2992...3752...9112..16560...38376...61376..135552...202832

...2065...2512...3752...5888..10360..18688...33616...61568..112928...209024

...5255...6352...9112..10360..22080..47440...96576..160704..300864...463632

..12914..12280..16560..18688..47440..72192..155792..255488..600080...869632

..31032..28816..38376..33616..96576.155792..404480..615296.1258112..1664400

..75634..60728..61376..61568.160704.255488..615296..897280.2597504..3836160

.185630.137768.135552.112928.300864.600080.1258112.2597504.4353536..7208464

.453792.311200.202832.209024.463632.869632.1664400.3836160.7208464.14508288

Links

R. H. Hardin, Table of n, a(n) for n = 1..2244

Formula

Empirical for column k:

k=1: [linear recurrence of order 9] for n>12

k=2: [order 8] for n>13

k=3: [order 12] for n>17

k=4: [order 10] for n>14

k=5: [order 15] for n>18

k=6: [order 14] for n>18

k=7: [order 12] for n>15

Example

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

Crossrefs

Sequence in context: A046197 A271730 A056733 * A256741 A349696 A246629

Adjacent sequences: A256745 A256746 A256747 * A256749 A256750 A256751

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 09 2015

Status

approved