A054407 Number of asymmetric n X n binary matrices under action of dihedral group of the square D_4.

0, 0, 0, 36, 7860, 4177152, 8589313152, 70368605798400, 2305842990423490560, 302231454885790246502400, 158456325028519245775644917760, 332306998946228931044233275859009536, 2787593149816327892614636032925171439370240

Offset

0,4

Links

Colin Barker, Table of n, a(n) for n = 0..50

Formula

(1/8)*(2^(n^2)-2*2^((n^2+n)/2)-3*2^(n^2/2)+2*2^(n^2/4)+2*2^((n^2+2*n)/4)) if n is even and (1/8)*(2^(n^2)-4*2^((n^2+n)/2)-2^((n^2+1)/2)+4*2^((n^2+2*n+1)/4)) if n is odd. - Corrected by Colin Barker, Oct 25 2016

Crossrefs

Cf. A054247.

Sequence in context: A222974 A013739 A203052 * A268553 A233171 A058466

Adjacent sequences: A054404 A054405 A054406 * A054408 A054409 A054410

Keyword

easy,nonn

Author

Vladeta Jovovic, May 08 2000

Extensions

More terms from Colin Barker, Oct 25 2016

Status

approved