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

Author

R. H. Hardin Jan 12 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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