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.

A337378 Numbers k for which A003961(k) > 2*sigma(k).

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%I A337378 #16 Dec 10 2024 11:33:11
%S A337378 16,24,27,32,36,40,45,48,49,54,56,63,64,72,80,81,84,90,96,98,99,100,
%T A337378 104,105,108,112,117,120,125,126,128,135,140,144,147,152,153,160,162,
%U A337378 168,171,175,176,180,184,189,192,196,198,200,207,208,210,216,224,225,234,240,243,245,248,250,252,256,264,270,272,273
%N A337378 Numbers k for which A003961(k) > 2*sigma(k).
%C A337378 Note that A003961(n) >= sigma(n) for all n. See A286385.
%H A337378 Antti Karttunen, <a href="/A337378/b337378.txt">Table of n, a(n) for n = 1..20000</a>
%H A337378 <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>
%H A337378 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%o A337378 (PARI)
%o A337378 A003961(n) = { my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); };
%o A337378 isA337378(n) = (A003961(n)>2*sigma(n));
%Y A337378 Subsequence of A246282 and of A337381.
%Y A337378 Positions of negative terms in A377984, and in A378751.
%Y A337378 Cf. A000203, A003961, A286385.
%Y A337378 Cf. A337379 (complement), A337380 (characteristic function).
%K A337378 nonn
%O A337378 1,1
%A A337378 _Antti Karttunen_, Aug 27 2020