A184376 T(n,k)=1/3 the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having at least two equal elements connected horizontally or vertically

21, 153, 153, 1107, 2755, 1107, 8019, 49235, 49235, 8019, 58077, 880781, 2167173, 880781, 58077, 420633, 15754461, 95528423, 95528423, 15754461, 420633, 3046491, 281803871, 4210059673, 10378244309, 4210059673, 281803871, 3046491, 22064643

Offset

1,1

Comments

Table starts

.........21............153...............1107....................8019

........153...........2755..............49235..................880781

.......1107..........49235............2167173................95528423

.......8019.........880781...........95528423.............10378244309

......58077.......15754461.........4210059673...........1127256514575

.....420633......281803871.......185547841629.........122443114867993

....3046491.....5040682279......8177524177277.......13299774554091575

...22064643....90163722073....360402692568245.....1444622701339019869

..159806277..1612776998193..15883791500540967...156915034606615850427

.1157419449.28848073268443.700035935394350709.17044123945719790186817

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

Some solutions for 4X3 with a(1,1)=0
..0..2..0....0..0..2....0..2..1....0..2..1....0..1..0....0..1..2....0..1..0
..0..0..0....0..0..2....0..0..1....0..0..1....2..1..0....0..1..0....2..2..2
..2..0..1....2..2..2....1..2..1....2..2..1....0..1..1....0..2..2....0..1..2
..2..0..2....1..0..0....1..0..1....2..2..1....1..1..2....1..2..0....1..1..0

Crossrefs

Sequence in context: A219599 A221694 A229262 * A184368 A078396 A301883

Adjacent sequences: A184373 A184374 A184375 * A184377 A184378 A184379

Keyword

nonn,tabl

Author

R. H. Hardin Jan 12 2011

Status

approved