A274314 a(n) = number of squares in GL(n,2), the ring of invertible n X n matrices over GF(2).

1, 1, 3, 126, 11340, 5940840, 12076523928, 95052257647200, 3153668941285723200, 406198470650573931200640, 215366179177149634500004545792, 447870507819487666185959047316144640, 3770394197251690930118967532374966498493440, 126205342254129164806148123600990735262978861434880, 16960349752279776751561660450391351891796348875427924676608

Offset

0,3

Links

Table of n, a(n) for n=0..14.

Victor S. Miller, Counting Matrices that are Squares, arXiv:1606.09299 [math.GR], 2016.

Index entries for matrices, binary, which are squares

Crossrefs

Cf. A266462, A274313, A225371.

Sequence in context: A160879 A157562 A324152 * A157592 A213988 A159319

Adjacent sequences: A274311 A274312 A274313 * A274315 A274316 A274317

Keyword

nonn

Author

N. J. A. Sloane, Jun 25 2016

Status

approved