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.

A326133 Numbers n for which sigma(n) > A005187(n).

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%I A326133 #31 Aug 06 2023 03:07:03
%S A326133 6,12,18,20,24,28,30,36,40,42,48,54,56,60,66,70,72,78,80,84,88,90,96,
%T A326133 100,102,104,108,110,112,114,120,126,132,138,140,144,150,156,160,162,
%U A326133 168,174,176,180,186,192,196,198,200,204,208,210,216,220,222,224,228,234,240,246,252,258,260,264,270,272,276,280,282,288,294,300
%N A326133 Numbers n for which sigma(n) > A005187(n).
%C A326133 Differs from A023196 for the first time at the 28th term, which here is 110, which is not included in A023196.
%C A326133 Note that as there is at least one odd number (815634435) in A326138, it means that A005231 does not contain all odd terms of this sequence.
%H A326133 Antti Karttunen, <a href="/A326133/b326133.txt">Table of n, a(n) for n = 1..16260</a>
%H A326133 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>.
%H A326133 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>.
%H A326133 <a href="/index/O#opnseqs">Index entries for sequences where any odd perfect numbers must occur</a>.
%t A326133 Select[Range[300], DivisorSigma[1, #] > 2*# - DigitCount[2*#, 2, 1] &] (* _Amiram Eldar_, Aug 06 2023 *)
%o A326133 (PARI)
%o A326133 A005187(n) = { my(s=n); while(n>>=1, s+=n); s; };
%o A326133 isA326133(n) = (sigma(n)>A005187(n));
%Y A326133 Positions of negative terms in A294898.
%Y A326133 Cf. A000203, A005187, A023196.
%Y A326133 Cf. A000396, A005231, A083207, A111592, A326131, A326138 (subsequences).
%K A326133 nonn
%O A326133 1,1
%A A326133 _Antti Karttunen_, Jun 11 2019