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A359167 Numbers k for which there is an even number of prime factors (when counted with multiplicity) in k*sigma(k), where sigma is the sum of divisors function. 3

%I #7 Dec 19 2022 15:07:45

%S 1,2,7,11,12,14,15,17,19,20,22,24,29,30,31,32,34,36,38,39,40,41,43,45,

%T 47,48,49,52,58,62,65,67,69,71,72,75,77,78,79,80,81,82,84,86,90,92,94,

%U 97,98,100,101,104,105,107,108,109,111,113,115,117,119,121,127,128,130,132,133,134,135,137,138

%N Numbers k for which there is an even number of prime factors (when counted with multiplicity) in k*sigma(k), where sigma is the sum of divisors function.

%C Numbers k such that the parities of A001222(k) and A058063(k) are equal.

%H <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>

%o (PARI) isA359167(n) = !((bigomega(n)+bigomega(sigma(n)))%2);

%Y Positions of 1's in A359166.

%Y Cf. A000203, A001222, A058063, A359168 (complement).

%K nonn

%O 1,2

%A _Antti Karttunen_, Dec 19 2022

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Last modified August 26 02:15 EDT 2024. Contains 375454 sequences. (Running on oeis4.)