A202317 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 100 in rows and columns

108, 333, 333, 1144, 1530, 1144, 4048, 7835, 7835, 4048, 14743, 41657, 60362, 41657, 14743, 54250, 226004, 482118, 482118, 226004, 54250, 201098, 1235783, 3922195, 5792412, 3922195, 1235783, 201098, 747683, 6782829, 32097834, 70757101

Offset

1,1

Comments

Table starts

......108........333.........1144...........4048............14743

......333.......1530.........7835..........41657...........226004

.....1144.......7835........60362.........482118..........3922195

.....4048......41657.......482118........5792412.........70757101

....14743.....226004......3922195.......70757101.......1298560926

....54250....1235783.....32097834......869323542......23966292639

...201098....6782829....263496670....10708740246.....443521643383

...747683...37288278...2165338373...132045501007....8215338474276

..2785178..205145785..17804391712..1628956232144..152244358697251

.10383774.1129013615.146424450894.20098992430100.2821802991486057

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Example

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

Crossrefs

Sequence in context: A369420 A202093 A202485 * A202310 A192793 A182171

Adjacent sequences: A202314 A202315 A202316 * A202318 A202319 A202320

Keyword

nonn,tabl

Author

R. H. Hardin Dec 16 2011

Status

approved