A202616 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 010 in rows and columns

108, 323, 323, 1058, 1291, 1058, 3223, 5736, 5736, 3223, 9515, 23649, 35356, 23649, 9515, 28426, 94549, 199481, 199481, 94549, 28426, 84486, 382826, 1085918, 1536150, 1085918, 382826, 84486, 249106, 1543290, 6010741, 11393658, 11393658, 6010741

Offset

1,1

Comments

Table starts

.....108......323.......1058.........3223...........9515...........28426

.....323.....1291.......5736........23649..........94549..........382826

....1058.....5736......35356.......199481........1085918.........6010741

....3223....23649.....199481......1536150.......11393658........85928517

....9515....94549....1085918.....11393658......115148467......1182043008

...28426...382826....6010741.....85928517.....1182043008.....16531918205

...84486..1543290...33085795....644528966....12070745813....229947504468

..249106..6177398..180444019...4789509282...122180004441...3169103619941

..734637.24736597..985048278..35617115556..1237280084732..43705026657979

.2166526.99065122.5379065804.264938271885.12531308219297.602848357308544

Links

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

Example

Some solutions for n=3 k=3
..1..1..1..1..0....1..0..1..1..0....1..1..1..1..0....0..1..1..0..1
..1..1..1..0..0....0..1..1..1..0....1..1..0..1..1....0..1..1..1..0
..1..1..0..0..0....1..1..1..0..0....0..1..1..1..1....0..1..1..1..1
..0..0..0..0..0....1..0..0..0..0....1..0..1..1..0....0..1..1..0..1
..1..1..0..0..0....0..1..1..0..0....1..1..1..0..1....0..0..0..0..0

Crossrefs

Sequence in context: A204277 A138669 A304377 * A202609 A202100 A202492

Adjacent sequences: A202613 A202614 A202615 * A202617 A202618 A202619

Keyword

nonn,tabl

Author

R. H. Hardin Dec 21 2011

Status

approved