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A337195 The 2-adic valuation of 1+A000265(sigma(n)), where A000265 gives the odd part.

%I A337195 #5 Aug 19 2020 06:47:05
%S A337195 1,2,1,3,2,2,1,4,1,1,2,3,3,2,2,5,1,3,1,1,1,1,2,4,5,1,1,3,4,1,1,6,2,2,
%T A337195 2,2,2,4,3,1,1,2,2,1,3,1,2,5,1,1,1,1,2,4,1,4,1,1,4,1,5,2,1,7,1,1,1,6,
%U A337195 2,1,1,2,1,1,5,2,2,1,1,1,1,6,1,3,2,1,4,1,1,1,3,1,1,1,4,6,1,2,3,1,2,2,1,1,2
%N A337195 The 2-adic valuation of 1+A000265(sigma(n)), where A000265 gives the odd part.
%H A337195 Antti Karttunen, <a href="/A337195/b337195.txt">Table of n, a(n) for n = 1..65537</a>
%H A337195 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%F A337195 a(n) = A007814(A337194(n)) = A007814(1+A000265(A000203(n))).
%o A337195 (PARI)
%o A337195 A007814(n) = valuation(n,2);
%o A337195 A000265(n) = (n>>A007814(n));
%o A337195 A337195(n) = A007814(1+A000265(sigma(n)));
%Y A337195 Cf. A000203, A000265, A007814, A161942, A336698, A337194, A337196.
%K A337195 nonn
%O A337195 1,2
%A A337195 _Antti Karttunen_, Aug 18 2020