A053856 Number of n X n matrices over GF(4) of order dividing 2 (i.e., number of solutions of X^2=I in GL(n,4)).

1, 16, 316, 69616, 21999616, 74351051776, 374910580965376, 20054412250260176896, 1616592330896738401386496, 1379799701868277127827135922176, 1779219416300608052895431535861170176

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V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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..11.

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

Crossrefs

Cf. A053722.

Sequence in context: A320064 A172211 A254151 * A208266 A184757 A356571

Adjacent sequences: A053853 A053854 A053855 * A053857 A053858 A053859

Keyword

nonn

Author

Vladeta Jovovic, Mar 28 2000

Extensions

More terms from Sean A. Irvine, Jan 16 2022

Status

approved