

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



1584, 13056, 57744, 133440, 307632, 519888, 990288, 1436208, 2108832, 3015648, 4075296
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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. GrosseKunstleve, Mar 26 2000


EXTENSIONS

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


STATUS

approved



