cp's OEIS Frontend

A337199 Binary weight of A337194(n) = 1+A000265(sigma(n)), where A000265(k) gives the odd part of k.

%I A337199 #8 Aug 20 2020 21:25:07
%S A337199 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 A337199 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 A337199 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 A337199 Binary weight of A337194(n) = 1+A000265(sigma(n)), where A000265(k) gives the odd part of k.
%H A337199 Antti Karttunen, <a href="/A337199/b337199.txt">Table of n, a(n) for n = 1..65537</a>
%H A337199 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%F A337199 a(n) = A000120(A337194(n)) = A000120(A336698(n)).
%o A337199 (PARI)
%o A337199 A000265(n) = (n>>valuation(n,2));
%o A337199 A337199(n) = (hammingweight(1+A000265(sigma(n))));
%Y A337199 Cf. A000120, A000203, A000265, A161942, A336698, A337194.
%Y A337199 Cf. also A175548, A336692, A337198.
%K A337199 nonn
%O A337199 1,9
%A A337199 _Antti Karttunen_, Aug 20 2020