A186902 T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants

0, 30, 30, 76, 148, 76, 234, 140, 140, 234, 632, 406, 444, 406, 632, 1832, 1246, 1692, 1692, 1246, 1832, 5182, 3106, 3948, 5401, 3948, 3106, 5182, 14860, 7240, 13894, 14437, 14437, 13894, 7240, 14860, 42346, 19040, 35270, 49303, 39372, 49303, 35270

Offset

1,2

Comments

Table starts

......0.....30......76.....234......632......1832.......5182.......14860

.....30....148.....140.....406.....1246......3106.......7240.......19040

.....76....140.....444....1692.....3948.....13894......35270......122820

....234....406....1692....5401....14437.....49303.....171877......608194

....632...1246....3948...14437....39372....158437.....554824.....2203303

...1832...3106...13894...49303...158437....703983....2920816....12599670

...5182...7240...35270..171877...554824...2920816...14050512....85310077

..14860..19040..122820..608194..2203303..12599670...85310077...523902288

..42346..49004..328174.1974583..7843906..53255787..380380974..2795274149

.121016.124974.1091770.6828851.30466049.237167117.2084921316.16608468926

Links

R. H. Hardin, Table of n, a(n) for n = 1..312

Example

Some solutions for 4X3
..0..1..1....1..1..0....0..1..1....1..1..0....0..0..0....0..0..1....0..1..0
..1..1..0....0..1..1....1..1..0....0..1..1....0..1..1....1..1..1....1..1..1
..0..0..0....0..0..0....1..1..0....0..0..1....1..1..0....1..1..0....1..0..1
..1..0..0....0..1..1....0..1..1....1..0..1....0..1..1....0..1..1....1..0..1

Crossrefs

Column 1 is A185479

Sequence in context: A220440 A040871 A022364 * A185487 A051723 A247517

Adjacent sequences: A186899 A186900 A186901 * A186903 A186904 A186905

Keyword

nonn,tabl

Author

R. H. Hardin Feb 28 2011

Status

approved