%I #8 Apr 14 2023 11:36:05
%S 1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,
%T 1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,
%U 0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0
%N a(n) = A000005(A360179(n)) mod 2.
%H Michael De Vlieger, <a href="/A362130/b362130.txt">Table of n, a(n) for n = 1..40000</a>
%H Michael De Vlieger, <a href="/A362130/a362130.png">4096 X 4096 pixel bitmap of a(n)</a>, n = 1..2^24.
%t nn = 120;
%t c[_] := False; h[_] := 0; f[n_] := DivisorSigma[0, n];
%t a[1] = j = u = 1;
%t {1}~Join~Reap[Do[
%t If[c[j],
%t k = j + f[u]; h[j]++; h[u],
%t k = f[j]; c[j] = True; h[j]++ ];
%t u = Min[u, j]; Set[{a[n], j}, {k, k}]; While[h[u] == 0, u++];
%t Sow[Mod[f[k], 2]], {n, 2, nn}], n]][[1, 1]]
%Y Cf. A000005, A360179, A362129.
%K nonn
%O 1
%A _Michael De Vlieger_, Apr 09 2023
