A203656 T(n,k)=1/25 the number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements.

9, 81, 81, 729, 1517, 729, 6561, 28057, 28057, 6561, 59049, 519445, 1116249, 519445, 59049, 531441, 9616161, 44577561, 44577561, 9616161, 531441, 4782969, 178019197, 1780968921, 3906948333, 1780968921, 178019197, 4782969, 43046721, 3295578857

Offset: 1

Author

R. H. Hardin Jan 04 2012

Keywords

• nonn
• tabl

Comments

Table starts

........9..........81.............729...............6561.................59049

.......81........1517...........28057.............519445...............9616161

......729.......28057.........1116249...........44577561............1780968921

.....6561......519445........44577561.........3906948333..........343812029649

....59049.....9616161......1780968921.......343812029649........67213191427593

...531441...178019197.....71156938905.....30292030417413.....13192335511091073

..4782969..3295578857...2843024036697...2669260624372937...2592476403527692089

.43046721.61009378085.113591039131161.235230466316286557.509649251749126118193

Examples

			Some solutions for n=4 k=3
..1..1..1..0....2..4..1..4....3..1..1..3....3..0..4..4....0..3..4..0
..4..1..2..1....2..2..4..4....4..3..1..1....2..3..0..4....3..2..3..4
..0..4..1..4....1..2..2..4....3..1..0..1....4..2..3..0....2..2..2..3
..3..0..4..3....3..1..2..2....1..1..1..0....0..4..2..3....4..2..4..2
..4..3..0..4....2..3..1..2....4..1..1..1....0..0..4..2....2..4..3..4
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..112

Crossrefs

Column 1 is A001019