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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. 5

%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. Grosse-Kunstleve_, Mar 26 2000

%E a(11) from _Sean A. Irvine_, Dec 16 2021

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Last modified February 7 06:02 EST 2023. Contains 360112 sequences. (Running on oeis4.)