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.

A347878 Numbers k for which A003415(sigma(k)) is even.

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%I A347878 #10 Sep 19 2021 22:02:06
%S A347878 1,3,6,7,8,11,12,14,15,18,19,21,22,23,24,27,28,30,31,33,35,36,38,39,
%T A347878 42,43,44,46,47,48,49,50,51,54,55,56,57,59,60,62,63,65,66,67,69,70,71,
%U A347878 75,76,77,78,79,81,83,84,85,86,87,88,91,92,93,94,95,96,99,100,102,103,105,107,108,110,111,112,114,115
%N A347878 Numbers k for which A003415(sigma(k)) is even.
%C A347878 Numbers k such that A342925(k) == 0 (mod 2).
%C A347878 Odd squares present are terms of A347886 squared.
%C A347878 Conjecture: A342923 is a subsequence of this sequence. See comments in A347870.
%t A347878 ad[1] = 0; ad[n_] := n * Total@(Last[#]/First[#]& /@ FactorInteger[n]); Select[Range[115], EvenQ[ad[DivisorSigma[1, #]]] &] (* _Amiram Eldar_, Sep 19 2021 *)
%o A347878 (PARI) isA347878(n) = !A347870(n);
%Y A347878 Cf. A000203, A003415, A342923, A342925, A347872, A347873, A347877 (complement), A347886.
%Y A347878 Positions of zeros in A347870.
%K A347878 nonn
%O A347878 1,2
%A A347878 _Antti Karttunen_, Sep 19 2021