cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A337196 The 3-adic valuation of 1+A000265(sigma(n)), where A000265 gives the odd part.

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%I A337196 #15 Feb 22 2021 21:20:03
%S A337196 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 A337196 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 A337196 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 A337196 The 3-adic valuation of 1+A000265(sigma(n)), where A000265 gives the odd part.
%H A337196 Antti Karttunen, <a href="/A337196/b337196.txt">Table of n, a(n) for n = 1..65537</a>
%H A337196 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%F A337196 a(n) = A007949(A337194(n)) = A007949(1+A000265(A000203(n))).
%F A337196 a(n) = A007949(A336698(n)).
%t A337196 Array[IntegerExponent[1 + #/2^IntegerExponent[#, 2], 3] &@ DivisorSigma[1, #] &, 105] (* _Michael De Vlieger_, Feb 22 2021 *)
%o A337196 (PARI)
%o A337196 A007949(n) = valuation(n,3);
%o A337196 A000265(n) = (n>>valuation(n,2));
%o A337196 A337196(n) = A007949(1+A000265(sigma(n)));
%Y A337196 Cf. A000203, A000265, A007949, A074941, A161942, A336698, A336700, A337194, A337195.
%Y A337196 Cf. A337197 (the first occurrence of each n).
%K A337196 nonn
%O A337196 1,67
%A A337196 _Antti Karttunen_, Aug 18 2020