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A210282 Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant n. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 27 03:21 EDT 2020. Contains 337380 sequences. (Running on oeis4.)