A202471 T(n,k) = Number of (n+2) X (k+2) binary arrays with no more than two of any consecutive three bits set in any row or column.

265, 1573, 1573, 9253, 16561, 9253, 54085, 172197, 172197, 54085, 317179, 1774281, 3157010, 1774281, 317179, 1858993, 18374521, 57262144, 57262144, 18374521, 1858993, 10894297, 190112777, 1044865367, 1828904402, 1044865367, 190112777, 10894297

Offset: 1

Author

R. H. Hardin, Dec 19 2011

Keywords

• nonn
• tabl

Examples

			Table starts
......265........1573..........9253............54085.............317179
.....1573.......16561........172197..........1774281...........18374521
.....9253......172197.......3157010.........57262144.........1044865367
....54085.....1774281......57262144.......1828904402........58746383721
...317179....18374521....1044865367......58746383721......3323590649777
..1858993...190112777...19045287529....1885066867201....187820723381421
.10894297..1966463785..347030298362...60472625443366..10610932604054547
.63850777.20345296193.6325139804762.1940390570621922.599616560193259281
...
Some solutions for n=1, k=3
..0..1..1..0..1....0..1..0..1..0....0..0..0..0..0....1..1..0..1..0
..0..0..1..0..0....1..0..0..0..1....1..0..0..1..0....1..1..0..0..0
..0..0..0..0..1....1..1..0..1..0....0..1..0..0..0....0..0..0..0..1
		

Links

• Liang Kai, Table of n, a(n) for n = 1..465 (first 241 terms from R. H. Hardin)

Crossrefs

Diagonal is A050974(n+2), col/row 1 is A202464, col/row 2 is A202465, col/row 3 is A202466.