A053170 Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which generate a group of finite order under matrix multiplication.

1584, 13056, 57744, 133440, 307632, 519888, 990288, 1436208, 2108832, 3015648, 4075296

Offset

1,1

Comments

Count of 3 X 3 matrices M with det(M) = +- 1 such that M^k = I for some k <= 6. - Sean A. Irvine, Dec 16 2021

Links

Table of n, a(n) for n=1..11.

Sean A. Irvine, Java program (github)

Formula

a(n) = 2*(1 + A053171(n) + A053172(n) + A053173(n) + A053174(n)).

Crossrefs

Cf. A053171, A053172, A053173, A053174.

Sequence in context: A242539 A224945 A306313 * A237916 A159211 A235844

Adjacent sequences: A053167 A053168 A053169 * A053171 A053172 A053173

Keyword

nonn,more

Author

Ralf W. Grosse-Kunstleve, Mar 26 2000

Extensions

a(11) from Sean A. Irvine, Dec 16 2021

Status

approved