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

0,2

Comments

See A210000 for a guide to related sequences.

Links

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

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 *)

Crossrefs

Cf. A210000.

Sequence in context: A052217 A119507 A044436 * A160167 A160412 A091846

Adjacent sequences: A210279 A210280 A210281 * A210283 A210284 A210285

Keyword

nonn

Author

Clark Kimberling, Mar 19 2012

Status

approved