cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A219325 #32 Sep 12 2023 15:49:13
%S A219325 1,17298,25947,100990,106090,2718340,36680364,34505916416
%N A219325 Positive integers n that are equal to the determinant of the circulant matrix formed by the binary digits of n.
%H A219325 Giovanni Resta, <a href="/A219325/a219325.txt">Illustration of a(8)</a>
%e A219325 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.
%t A219325 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 *)
%Y A219325 Cf. A219324 (decimal version) provides references and more details.
%K A219325 base,nonn,nice,more
%O A219325 1,2
%A A219325 _Max Alekseyev_, Nov 17 2012
%E A219325 a(7) from _Hans Havermann_ and _Emmanuel Vantieghem_, Nov 19 2012
%E A219325 a(8) from _Giovanni Resta_, Dec 14 2012