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A337194 a(n) = 1 + A000265(sigma(n)), where A000265 gives the odd part.

%I A337194 #7 Aug 19 2020 06:46:55
%S A337194 2,4,2,8,4,4,2,16,14,10,4,8,8,4,4,32,10,40,6,22,2,10,4,16,32,22,6,8,
%T A337194 16,10,2,64,4,28,4,92,20,16,8,46,22,4,12,22,40,10,4,32,58,94,10,50,28,
%U A337194 16,10,16,6,46,16,22,32,4,14,128,22,10,18,64,4,10,10,196,38,58,32,36,4,22,6,94,122,64,22,8,28,34
%N A337194 a(n) = 1 + A000265(sigma(n)), where A000265 gives the odd part.
%H A337194 Antti Karttunen, <a href="/A337194/b337194.txt">Table of n, a(n) for n = 1..65537</a>
%H A337194 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%F A337194 a(n) = 1+A000265(A000203(n)).
%F A337194 a(n) = A336698(n) * 2^A337195(n).
%F A337194 A007949(a(n)) = A337196(n).
%o A337194 (PARI)
%o A337194 A000265(n) = (n>>valuation(n,2));
%o A337194 A337194(n) = (1+A000265(sigma(n)));
%Y A337194 One more than A161942.
%Y A337194 Cf. A000203, A000265, A336698, A337195, A337196.
%K A337194 nonn
%O A337194 1,1
%A A337194 _Antti Karttunen_, Aug 18 2020