%I #9 Oct 05 2023 18:17:05
%S 1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,
%T 0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,
%U 0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
%N Parity of the Dirichlet inverse of the characteristic function of triangular numbers (A010054).
%H Antti Karttunen, <a href="/A365799/b365799.txt">Table of n, a(n) for n = 1..101025</a>
%H <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>
%F a(n) = A000035(A365800(n)).
%o (PARI) A365799(n) = (A365800(n)%2); \\ Uses also code from A365800.
%Y Sequence A365800 reduced modulo 2.
%Y Cf. A000035, A000217, A010054.
%K nonn
%O 1
%A _Antti Karttunen_, Oct 05 2023