A210282 Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant n.

1, 3, 12, 21, 43, 45, 102, 75, 161, 156, 234, 163, 433, 221, 424, 460, 608, 359, 876, 447, 1049, 830, 942, 637, 1784, 932, 1304, 1306, 1905, 997, 2648, 1137, 2428, 1920, 2164, 2042, 3980, 1595, 2694, 2618, 4378, 1961, 4900, 2163, 4423, 4283

Offset: 0

Author

Clark Kimberling, Mar 19 2012

Keywords

• nonn

Comments

See A210000 for a guide to related sequences.

Links

• Chai Wah Wu, Table of n, a(n) for n = 0..2000

Crossrefs

Cf. A210000.

Programs

Mathematica

a = 0; b = n; z1 = 45;
t[n_] := t[n] = Flatten[Table[w*z - x*y, {w, a, b}, {x, a, b}, {y, a, b}, {z, a, b}]]
c[n_, k_] := c[n, k] = Count[t[n], k]
Table[c[n, n], {n, 0, z1}]  (* A210282 *)