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%I #10 Nov 26 2022 08:58:25
%S 0,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,
%T 0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,
%U 0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0
%N a(n) = 1 if A276086(n) is a multiple of A003415(n), with a(0) = a(1) = 0. Here A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function.
%H Antti Karttunen, <a href="/A358220/b358220.txt">Table of n, a(n) for n = 0..100000</a>
%H <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>
%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%F For n > 1, a(n) = [A328382(n) == 0], where [ ] is the Iverson bracket.
%F For n > 1, a(n) <= 1-A358227(n).
%o (PARI)
%o A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
%o A358220(n) = if(n<2,0,!(A276086(n)%A003415(n)));
%Y Characteristic function of A358221.
%Y Cf. A003415, A276086, A328382, A358227.
%Y Cf. also A356310.
%K nonn
%O 0
%A _Antti Karttunen_, Nov 23 2022
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