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

1,1

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

Links

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

Example

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

Crossrefs

Column 1 is A001019

Sequence in context: A209280 A014393 A008463 * A043087 A037414 A161147

Adjacent sequences: A203653 A203654 A203655 * A203657 A203658 A203659

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2012

Status

approved