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A374216 The 2-adic valuation of sopfr(n), where sopfr is the sum of prime factors with repetition, A001414.

%I A374216 #6 Jul 02 2024 18:47:13
%S A374216 1,0,2,0,0,0,1,1,0,0,0,0,0,3,3,0,3,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,2,
%T A374216 1,0,0,4,0,0,2,0,0,0,0,0,0,1,2,2,0,0,0,4,0,1,0,0,2,0,0,0,2,1,4,0,0,1,
%U A374216 1,0,2,0,0,0,0,1,1,0,0,2,0,0,1,1,0,5,0,0,0,2,0,1,0,3,0,0,4,0,1,0,1,0,0,0,0,0,0,0,1,3,0,0,3,2,0,0,0,3,1,1
%N A374216 The 2-adic valuation of sopfr(n), where sopfr is the sum of prime factors with repetition, A001414.
%H A374216 Antti Karttunen, <a href="/A374216/b374216.txt">Table of n, a(n) for n = 2..100000</a>
%F A374216 a(n) = A007814(A001414(n)).
%o A374216 (PARI)
%o A374216 A001414(n) = ((n=factor(n))[, 1]~*n[, 2]);
%o A374216 A374216(n) = valuation(A001414(n), 2);
%Y A374216 Cf. A001414, A007814, A036349 (gives the indices of nonzero terms here, after its initial 1), A335657 (gives the indices of 0's), A356163.
%Y A374216 Cf. also A374206, A374217.
%K A374216 nonn
%O A374216 2,3
%A A374216 _Antti Karttunen_, Jul 02 2024