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Binary weight of A337194(n) = 1+A000265(sigma(n)), where A000265(k) gives the odd part of k.
3

%I #8 Aug 20 2020 21:25:07

%S 1,1,1,1,1,1,1,1,3,2,1,1,1,1,1,1,2,2,2,3,1,2,1,1,1,3,2,1,1,2,1,1,1,3,

%T 1,4,2,1,1,4,3,1,2,3,2,2,1,1,4,5,2,3,3,1,2,1,2,4,1,3,1,1,3,1,3,2,2,1,

%U 1,2,2,3,3,4,1,2,1,3,2,5,5,1,3,1,3,2,1,4,4,5,1,3,1,2,1,1,3,4,2,5,3,3,3,4,1

%N Binary weight of A337194(n) = 1+A000265(sigma(n)), where A000265(k) gives the odd part of k.

%H Antti Karttunen, <a href="/A337199/b337199.txt">Table of n, a(n) for n = 1..65537</a>

%H <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>

%F a(n) = A000120(A337194(n)) = A000120(A336698(n)).

%o (PARI)

%o A000265(n) = (n>>valuation(n,2));

%o A337199(n) = (hammingweight(1+A000265(sigma(n))));

%Y Cf. A000120, A000203, A000265, A161942, A336698, A337194.

%Y Cf. also A175548, A336692, A337198.

%K nonn

%O 1,9

%A _Antti Karttunen_, Aug 20 2020