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
Examples
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