%I
%S 1584,13056,57744,133440,307632,519888,990288,1436208,2108832,3015648,
%T 4075296
%N Number of 3 X 3 integer matrices with elements in the range [ n,n ] which generate a group of finite order under matrix multiplication.
%C 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
%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a053/A053170.java">Java program</a> (github)
%F a(n) = 2*(1 + A053171(n) + A053172(n) + A053173(n) + A053174(n)).
%Y Cf. A053171, A053172, A053173, A053174.
%K nonn,more
%O 1,1
%A _Ralf W. GrosseKunstleve_, Mar 26 2000
%E a(11) from _Sean A. Irvine_, Dec 16 2021
