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.

A326130 a(n) = gcd(A000120(n), A294898(n)) = gcd(A000120(n), sigma(n)-A005187(n)).

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%I A326130 #8 Jun 10 2019 17:56:29
%S A326130 1,1,2,1,2,2,3,1,1,2,1,2,3,1,2,1,2,1,3,2,1,1,2,2,1,1,2,3,4,4,5,1,2,2,
%T A326130 1,1,3,1,2,2,1,3,2,1,4,4,1,2,1,1,2,3,4,4,1,1,2,2,1,4,5,1,2,1,2,2,3,2,
%U A326130 3,1,2,1,3,1,2,3,2,4,1,2,1,1,2,1,2,4,1,1,4,2,5,4,1,1,2,2,3,1,2,1,4,4,1,1,2
%N A326130 a(n) = gcd(A000120(n), A294898(n)) = gcd(A000120(n), sigma(n)-A005187(n)).
%H A326130 Antti Karttunen, <a href="/A326130/b326130.txt">Table of n, a(n) for n = 1..65537</a>
%H A326130 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%H A326130 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%F A326130 a(n) = gcd(A000120(n), A294898(n)) = gcd(A000120(n), A000203(n)-A005187(n)).
%o A326130 (PARI)
%o A326130 A005187(n) = { my(s=n); while(n>>=1, s+=n); s; };
%o A326130 A294898(n) = (A005187(n)-sigma(n));
%o A326130 A326130(n) = gcd(hammingweight(n), A294898(n));
%o A326130 (PARI) A326130(n) = gcd(hammingweight(n), sigma(n)-A005187(n));
%Y A326130 Cf. A000120, A000203, A005187, A033879, A326131.
%Y A326130 Cf. also A009194, A325385, A325813, A325975, A326046, A326047, A326048, A326056, A326057, A326060, A326062, A326129, A326140, A326144.
%K A326130 nonn
%O A326130 1,3
%A A326130 _Antti Karttunen_, Jun 09 2019