A186536 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant

81, 554, 554, 4020, 8410, 4020, 28522, 129762, 129762, 28522, 203346, 2004390, 4456218, 2004390, 203346, 1448300, 30642746, 150041994, 150041994, 30642746, 1448300, 10317234, 471337960, 5043895240, 11180777496, 5043895240, 471337960

Offset

1,1

Comments

Table starts

.........81...........554............4020............28522............203346

........554..........8410..........129762..........2004390..........30642746

.......4020........129762.........4456218........150041994........5043895240

......28522.......2004390.......150041994......11180777496......819481009820

.....203346......30642746......5043895240.....819481009820...132204817900858

....1448300.....471337960....169733268904...60763226187367.21417901169134908

...10317234....7226974262...5709526227226.4470558553054728

...73494218..110986523654.192072734086538

..523535260.1703101107186

.3729392026

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for 4X3
..0..2..0....1..1..0....0..1..1....1..0..1....2..0..1....0..2..0....0..1..1
..2..1..0....2..0..1....2..2..2....2..1..0....0..2..1....2..1..1....1..2..0
..0..2..2....1..1..0....0..2..1....0..1..1....0..1..0....0..2..1....1..2..2
..2..2..2....1..1..1....1..2..1....2..0..2....2..2..0....1..0..1....0..2..1

Crossrefs

Sequence in context: A235584 A231973 A205894 * A186528 A253294 A253164

Adjacent sequences: A186533 A186534 A186535 * A186537 A186538 A186539

Keyword

nonn,tabl

Author

R. H. Hardin Feb 23 2011

Status

approved