A202898 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals.

96, 258, 258, 776, 844, 776, 2201, 3264, 3264, 2201, 6037, 11792, 17116, 11792, 6037, 16722, 41125, 81308, 81308, 41125, 16722, 46270, 146033, 369152, 505725, 369152, 146033, 46270, 127161, 518500, 1719383, 2990844, 2990844, 1719383, 518500

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..198

Example

Table starts
.....96......258.......776........2201.........6037..........16722
....258......844......3264.......11792........41125.........146033
....776.....3264.....17116.......81308.......369152........1719383
...2201....11792.....81308......505725......2990844.......18123980
...6037....41125....369152.....2990844.....22949327......180517936
..16722...146033...1719383....18123980....180517936.....1847238109
..46270...518500...7994866...109801091...1420515543....18894802636
.127161..1829248..36814964...658491602..11069517743...191390651656
.349088..6456790.169690932..3949514088..86276642450..1939656390578
.958698.22804970.782928672.23718693425.673095183355.19672200615050
Some solutions for n=3 k=3
..1..1..0..1..1....1..1..0..1..1....1..1..1..1..1....0..1..1..1..1
..1..0..1..1..1....1..0..1..1..1....0..1..1..0..0....1..1..1..0..0
..1..1..1..1..1....1..1..1..1..1....1..1..1..1..0....1..1..1..1..1
..1..1..0..1..1....0..1..1..1..1....1..1..1..1..0....1..0..1..1..1
..1..1..1..1..0....1..1..0..1..1....0..1..1..0..0....0..1..1..1..1

Crossrefs

Sequence in context: A124106 A304510 A268771 * A202891 A232939 A202591

Adjacent sequences: A202895 A202896 A202897 * A202899 A202900 A202901

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 25 2011

Status

approved