A209991 Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {0,1}.

1, 13, 38, 79, 136, 209, 302, 407, 536, 681, 846, 1015, 1240, 1441, 1678, 1951, 2240, 2505, 2854, 3151, 3552, 3945, 4326, 4687, 5216, 5657, 6110, 6615, 7192, 7649, 8342, 8831, 9472, 10105, 10702, 11407, 12272, 12857, 13526, 14279, 15224

Offset

0,2

Comments

See A210000 for a guide to related sequences.

Links

Table of n, a(n) for n=0..40.

Formula

A059306 + A171503.

Mathematica

a = 0; b = n; z1 = 40;
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]
c1[n_, m_] := c1[n, m] = Sum[c[n, k], {k, 0, 1}]
Table[c1[n, 1], {n, 0, z1}]    (* A209991 *)

Crossrefs

Cf. A059306, A171503, A210000.

Sequence in context: A044090 A044471 A285525 * A299055 A158647 A283123

Adjacent sequences: A209988 A209989 A209990 * A209992 A209993 A209994

Keyword

nonn

Author

Clark Kimberling, Mar 18 2012

Status

approved