A213990 T(n,k)=Number of n X n 0..k matrices whose square is also a 0..k matrix

2, 2, 11, 2, 24, 172, 3, 36, 1003, 6327, 3, 72, 2546, 120133, 474286, 3, 92, 8168, 604639, 35799856, 67147431, 3, 126, 14030, 3510112, 421195466, 24651985100, 17080038508, 3, 148, 28328, 9131098, 5018010431, 801373175814

Offset

1,1

Links

Table of n, a(n) for n=1..34.

Example

Some solutions for n=3 k=4
..1..0..2....0..4..1....2..0..0....2..2..0....0..4..4....0..3..3....0..3..2
..0..2..0....0..0..0....0..0..0....0..0..2....1..0..0....1..0..0....0..1..0
..0..0..1....0..1..0....0..0..2....0..0..0....0..0..0....0..0..0....0..0..0
Table starts
...........2...........2............2..........3.......3.....3...3.3
..........11..........24...........36.........72......92...126.148
.........172........1003.........2546.......8168...14030.28328
........6327......120133.......604639....3510112.9131098
......474286....35799856....421195466.5018010431
....67147431.24651985100.801373175814
.17080038508

Crossrefs

Column 1 is A121231

Sequence in context: A037234 A141651 A359425 * A275429 A222878 A090525

Adjacent sequences: A213987 A213988 A213989 * A213991 A213992 A213993

Keyword

nonn,tabl,more

Author

R. H. Hardin, Jun 30 2012

Status

approved