%I #15 Feb 22 2021 21:20:03
%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
%T 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,
%U 0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
%N The 3-adic valuation of 1+A000265(sigma(n)), where A000265 gives the odd part.
%H Antti Karttunen, <a href="/A337196/b337196.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) = A007949(A337194(n)) = A007949(1+A000265(A000203(n))).
%F a(n) = A007949(A336698(n)).
%t Array[IntegerExponent[1 + #/2^IntegerExponent[#, 2], 3] &@ DivisorSigma[1, #] &, 105] (* _Michael De Vlieger_, Feb 22 2021 *)
%o (PARI)
%o A007949(n) = valuation(n,3);
%o A000265(n) = (n>>valuation(n,2));
%o A337196(n) = A007949(1+A000265(sigma(n)));
%Y Cf. A000203, A000265, A007949, A074941, A161942, A336698, A336700, A337194, A337195.
%Y Cf. A337197 (the first occurrence of each n).
%K nonn
%O 1,67
%A _Antti Karttunen_, Aug 18 2020