A053847 Number of n X n matrices over GF(3) of order dividing 3 (i.e., number of solutions of X^3=I in GL(n,3)).

1, 9, 729, 82161, 61922961, 327523604409, 2968963728429609, 177453815706399966561, 71091462160659703468902561, 51901843800561973225033489716969, 249256796709038336422469428312871270649, 7916914883318037268574503647562168355985573201

Offset

1,2

References

V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

Links

Table of n, a(n) for n=1..12.

Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.

Crossrefs

Cf. A053725.

Sequence in context: A154026 A013714 A069034 * A053854 A053764 A255510

Adjacent sequences: A053844 A053845 A053846 * A053848 A053849 A053850

Keyword

nonn

Author

Vladeta Jovovic, Mar 28 2000

Extensions

More terms from Sean A. Irvine, Jan 16 2022

Status

approved