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A374133 The 3-adic valuation of A276085(n), where A276085 is the primorial base log-function.

%I A374133 #6 Jun 30 2024 16:13:17
%S A374133 0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,2,1,0,0,0,2,
%T A374133 1,1,0,0,2,1,1,1,0,0,0,1,1,1,0,0,0,1,0,3,1,0,0,1,0,1,0,0,1,1,1,1,0,0,
%U A374133 0,1,0,1,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,3,0,1,0,0,0,1,2,1,2,0,0,1,0,1
%N A374133 The 3-adic valuation of A276085(n), where A276085 is the primorial base log-function.
%H A374133 Antti Karttunen, <a href="/A374133/b374133.txt">Table of n, a(n) for n = 2..100000</a>
%F A374133 a(n) = A007949(A276085(n)).
%o A374133 (PARI)
%o A374133 A276085(n) = { my(f=factor(n)); sum(k=1, #f~, f[k, 2]*prod(i=1,primepi(f[k, 1]-1),prime(i))); };
%o A374133 A374133(n) = valuation(A276085(n),3);
%Y A374133 Cf. A007949, A276085, A339746 (indices of nonzero terms), A372573 (their characteristic function).
%Y A374133 Cf. also A373153, A374132.
%K A374133 nonn
%O A374133 2,29
%A A374133 _Antti Karttunen_, Jun 30 2024