A219325 Positive integers n that are equal to the determinant of the circulant matrix formed by the binary digits of n.

1, 17298, 25947, 100990, 106090, 2718340, 36680364, 34505916416

Offset: 1

Author

Max Alekseyev, Nov 17 2012

Keywords

• base
• nonn
• nice
• more

Examples

			Binary digits of 17298 are [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0]. The 15 X 15 circulant matrix formed by their circular right rotations has determinant equal to 17298.
		

Links

• Giovanni Resta, Illustration of a(8)

Crossrefs

Cf. A219324 (decimal version) provides references and more details.

Programs

Mathematica

dcmQ[n_]:=Module[{idn2=IntegerDigits[n,2]},Det[Table[RotateRight[idn2,k],{k,Length[ idn2]}]] == n]; Select[Range[3*10^6],dcmQ] (* This program generates the first 6 terms of the sequence. To generate a(7) and a(8), increase the Range constant to 3451*10^7, but the program will take a long time to run. *) (* Harvey P. Dale, Jul 30 2019 *)

Extensions

a(7) from Hans Havermann and Emmanuel Vantieghem, Nov 19 2012

a(8) from Giovanni Resta, Dec 14 2012