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%I #12 Dec 20 2024 16:11:46
%S 1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,
%T 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,
%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1
%N a(n) = 1 if A113177(n) is a multiple of 5, otherwise 0, where A113177 is fully additive with a(p) = Fibonacci(p).
%H Antti Karttunen, <a href="/A379227/b379227.txt">Table of n, a(n) for n = 1..81839</a>
%H <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>
%F a(n) = 1 if A379225(n) = 0, otherwise 0.
%F For n>= 2, a(n) = [A374208(n) > 0], where [ ] is the Iverson bracket.
%o (PARI)
%o A113177(n) = if(n<=1, 0, my(f=factor(n)); sum(i=1, #f~, f[i, 2]*fibonacci(f[i, 1])));
%o A379227(n) = !(A113177(n)%5);
%Y Characteristic function of A379226.
%Y Cf. A000045, A030426, A082116, A113177, A374208, A374124, A379225.
%Y Cf. also A373585, A374051, A379117.
%Y Differs from A374208 the next time at n=102, where a(102) = 1, while A374208(102) = 2.
%K nonn,new
%O 1
%A _Antti Karttunen_, Dec 20 2024